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96234988824 = 233213242342433
BaseRepresentation
bin101100110100000001…
…1010110010100011000
3100012101210002221212100
41121220003112110120
53034042124120244
6112113145443400
76644535623352
oct1315003262430
9305353087770
1096234988824
11378a4162517
1216798aa0560
1390c87a5c90
14492cdda0d2
152783930b69
hex16680d6518

96234988824 has 96 divisors (see below), whose sum is σ = 280807843680. Its totient is φ = 29597847552.

The previous prime is 96234988807. The next prime is 96234988859. The reversal of 96234988824 is 42888943269.

96234988824 is a `hidden beast` number, since 9 + 62 + 3 + 498 + 8 + 82 + 4 = 666.

It is a super-2 number, since 2×962349888242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2246712 + ... + 2289144.

It is an arithmetic number, because the mean of its divisors is an integer number (2925081705).

Almost surely, 296234988824 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 96234988824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140403921840).

96234988824 is an abundant number, since it is smaller than the sum of its proper divisors (184572854856).

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

96234988824 is a wasteful number, since it uses less digits than its factorization.

96234988824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44881 (or 44874 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 96234988824 in words is "ninety-six billion, two hundred thirty-four million, nine hundred eighty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2423 4846 7269 9692 14538 19384 21807 29076 31499 42433 43614 58152 62998 84866 87228 94497 125996 127299 169732 174456 188994 251992 254598 283491 339464 377988 381897 509196 551629 566982 755976 763794 1018392 1103258 1133964 1527588 1654887 2206516 2267928 3055176 3309774 4413032 4964661 6619548 9929322 13239096 19858644 39717288 102815159 205630318 308445477 411260636 616890954 822521272 925336431 1233781908 1336597067 1850672862 2467563816 2673194134 3701345724 4009791201 5346388268 7402691448 8019582402 10692776536 12029373603 16039164804 24058747206 32078329608 48117494412 96234988824