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396924113633832 = 233229335815254157
BaseRepresentation
bin101101001000000000001100…
…0110010111100001000101000
31221001101120111221102000110100
41122100000120302330020220
5404011201041042240312
63524104230455145400
7146414551362125211
oct13220003062741050
91831346457360410
10396924113633832
111055216313a0924
1238626676675260
1314062a24c12b05
14700333006a408
1530d4d9163a5dc
hex1690018cbc228

396924113633832 has 96 divisors (see below), whose sum is σ = 1078973185497480. Its totient is φ = 131819628387840.

The previous prime is 396924113633797. The next prime is 396924113633863. The reversal of 396924113633832 is 238336311429693.

396924113633832 is a `hidden beast` number, since 3 + 9 + 6 + 9 + 241 + 1 + 3 + 6 + 3 + 383 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316119367824516 + 80804745809316 = 17779746^2 + 8989146^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 396924113633832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72917698 + ... + 78171854.

Almost surely, 2396924113633832 is an apocalyptic number.

It is an amenable number.

396924113633832 is an abundant number, since it is smaller than the sum of its proper divisors (682049071863648).

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

396924113633832 is a wasteful number, since it uses less digits than its factorization.

396924113633832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258043 (or 5258036 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 63.

The spelling of 396924113633832 in words is "three hundred ninety-six trillion, nine hundred twenty-four billion, one hundred thirteen million, six hundred thirty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 3581 5274 7032 7162 10548 10743 14324 21096 21486 28648 32229 42972 64458 85944 128916 257832 1049233 2098466 3147699 4196932 5254157 6295398 8393864 9443097 10508314 12590796 15762471 18886194 21016628 25181592 31524942 37772388 42033256 47287413 63049884 75544776 94574826 126099768 189149652 378299304 1539468001 3078936002 4618404003 6157872004 9236808006 12315744008 13855212009 18473616012 18815136217 27710424018 36947232024 37630272434 55420848036 56445408651 75260544868 110841696072 112890817302 150521089736 169336225953 225781634604 338672451906 451563269208 677344903812 1354689807624 5512834911581 11025669823162 16538504734743 22051339646324 33077009469486 44102679292648 49615514204229 66154018938972 99231028408458 132308037877944 198462056816916 396924113633832