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2534281680 = 243572365587
BaseRepresentation
bin1001011100001110…
…0001000111010000
320112121200211220110
42113003201013100
520142234003210
61055250241320
7116542016220
oct22703410720
96477624813
102534281680
111090599377
125a8886240
13315073278
141a0816080
15ec74d420
hex970e11d0

2534281680 has 160 divisors (see below), whose sum is σ = 9369114624. Its totient is φ = 554070528.

The previous prime is 2534281643. The next prime is 2534281691. The reversal of 2534281680 is 861824352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5847 + ... + 71433.

Almost surely, 22534281680 is an apocalyptic number.

2534281680 is a gapful number since it is divisible by the number (20) 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 2534281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684557312).

2534281680 is an abundant number, since it is smaller than the sum of its proper divisors (6834832944).

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

2534281680 is a wasteful number, since it uses less digits than its factorization.

2534281680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65633 (or 65627 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2534281680 is about 50341.6495558101. The cubic root of 2534281680 is about 1363.3843192189.

The spelling of 2534281680 in words is "two billion, five hundred thirty-four million, two hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 65587 131174 196761 262348 327935 393522 459109 524696 655870 787044 918218 983805 1049392 1311740 1377327 1508501 1574088 1836436 1967610 2295545 2623480 2754654 3017002 3148176 3672872 3935220 4525503 4591090 5246960 5509308 6034004 6886635 7345744 7542505 7870440 9051006 9182180 10559507 11018616 12068008 13773270 15085010 15740880 18102012 18364360 21119014 22037232 22627515 24136016 27546540 30170020 31678521 36204024 36728720 42238028 45255030 52797535 55093080 60340040 63357042 72408048 84476056 90510060 105595070 110186160 120680080 126714084 158392605 168952112 181020120 211190140 253428168 316785210 362040240 422380280 506856336 633570420 844760560 1267140840 2534281680