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88649650080 = 25325271227167
BaseRepresentation
bin101001010001111101…
…1100100111110100000
322110211010221211021100
41102203323210332200
52423023302300310
6104420341354400
76255551410215
oct1224373447640
9273733854240
1088649650080
1134661464222
1215220708a00
13848a138864
14440d831b0c
15248ca42ec0
hex14a3ee4fa0

88649650080 has 144 divisors (see below), whose sum is σ = 303634566144. Its totient is φ = 23552570880.

The previous prime is 88649650073. The next prime is 88649650109. The reversal of 88649650080 is 8005694688.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 88649649999 and 88649650026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276657 + ... + 503823.

It is an arithmetic number, because the mean of its divisors is an integer number (2108573376).

Almost surely, 288649650080 is an apocalyptic number.

88649650080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88649650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151817283072).

88649650080 is an abundant number, since it is smaller than the sum of its proper divisors (214984916064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88649650080 is a wasteful number, since it uses less digits than its factorization.

88649650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227459 (or 227448 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 88649650080 in words is "eighty-eight billion, six hundred forty-nine million, six hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 8672 9756 10840 12195 13008 16260 19512 21680 24390 26016 32520 39024 43360 48780 65040 78048 97560 130080 195120 227167 390240 454334 681501 908668 1135835 1363002 1817336 2044503 2271670 2726004 3407505 3634672 4089006 4543340 5452008 6815010 7269344 8178012 9086680 10222515 10904016 13630020 16356024 18173360 20445030 21808032 27260040 32712048 36346720 40890060 54520080 61562257 65424096 81780120 109040160 123124514 163560240 184686771 246249028 307811285 327120480 369373542 492498056 554060313 615622570 738747084 923433855 984996112 1108120626 1231245140 1477494168 1846867710 1969992224 2216241252 2462490280 2770301565 2954988336 3693735420 4432482504 4924980560 5540603130 5909976672 7387470840 8864965008 9849961120 11081206260 14774941680 17729930016 22162412520 29549883360 44324825040 88649650080