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96542431232 = 211137734691
BaseRepresentation
bin101100111101001100…
…0001001100000000000
3100020012012121122120012
41121322120021200000
53040204330244412
6112203451204052
76655261061042
oct1317230114000
9306165548505
1096542431232
1137a4175a555
1216863a46628
1391473ab470
14495bb89a92
1527a090ec22
hex167a609800

96542431232 has 96 divisors (see below), whose sum is σ = 208200086640. Its totient is φ = 44490915840.

The previous prime is 96542431177. The next prime is 96542431247. The reversal of 96542431232 is 23213424569.

96542431232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 96542431232.

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 7 ways as a sum of consecutive naturals, for example, 20578007 + ... + 20582697.

Almost surely, 296542431232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96542431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104100043320).

96542431232 is an abundant number, since it is smaller than the sum of its proper divisors (111657655408).

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

96542431232 is a wasteful number, since it uses less digits than its factorization.

96542431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5479 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The spelling of 96542431232 in words is "ninety-six billion, five hundred forty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 773 832 1024 1546 1664 2048 3092 3328 4691 6184 6656 9382 10049 12368 13312 18764 20098 24736 26624 37528 40196 49472 60983 75056 80392 98944 121966 150112 160784 197888 243932 300224 321568 395776 487864 600448 643136 791552 975728 1200896 1286272 1583104 1951456 2401792 2572544 3626143 3902912 4803584 5145088 7252286 7805824 9607168 10290176 14504572 15611648 20580352 29009144 31223296 47139859 58018288 62446592 94279718 116036576 124893184 188559436 232073152 377118872 464146304 754237744 928292608 1508475488 1856585216 3016950976 3713170432 6033901952 7426340864 12067803904 24135607808 48271215616 96542431232