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108352420632 = 23333379971493
BaseRepresentation
bin110010011101001001…
…1101011101100011000
3101100200021012021101000
41210322103223230120
53233401204430012
6121435412225000
710554034244031
oct1447223535430
9340607167330
10108352420632
1141a52131375
1218bbb00b160
13a2aa075781
14535c465a88
152c4264addc
hex193a4ebb18

108352420632 has 128 divisors (see below), whose sum is σ = 302377233600. Its totient is φ = 35950086144.

The previous prime is 108352420621. The next prime is 108352420669. The reversal of 108352420632 is 236024253801.

108352420632 is a `hidden beast` number, since 1 + 0 + 83 + 524 + 20 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 72572878 + ... + 72574370.

Almost surely, 2108352420632 is an apocalyptic number.

108352420632 is a gapful number since it is divisible by the number (12) 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 108352420632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151188616800).

108352420632 is an abundant number, since it is smaller than the sum of its proper divisors (194024812968).

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

108352420632 is a wasteful number, since it uses less digits than its factorization.

108352420632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 108352420632 in words is "one hundred eight billion, three hundred fifty-two million, four hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 337 674 997 1011 1348 1493 1994 2022 2696 2986 2991 3033 3988 4044 4479 5972 5982 6066 7976 8088 8958 8973 9099 11944 11964 12132 13437 17916 17946 18198 23928 24264 26874 26919 35832 35892 36396 40311 53748 53838 71784 72792 80622 107496 107676 161244 215352 322488 335989 503141 671978 1006282 1007967 1343956 1488521 1509423 2012564 2015934 2687912 2977042 3018846 3023901 4025128 4031868 4465563 4528269 5954084 6037692 6047802 8063736 8931126 9056538 9071703 11908168 12075384 12095604 13396689 13584807 17862252 18113076 18143406 24191208 26793378 27169614 35724504 36226152 36286812 40190067 53586756 54339228 72573624 80380134 107173512 108678456 160760268 321520536 501631577 1003263154 1504894731 2006526308 3009789462 4013052616 4514684193 6019578924 9029368386 12039157848 13544052579 18058736772 27088105158 36117473544 54176210316 108352420632