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328163996736 = 2632238692
BaseRepresentation
bin1001100011010000001…
…10010011010001000000
31011101001022110022010100
410301220012103101000
520334034440343421
6410431221202400
732465131643112
oct4615006232100
91141038408110
10328163996736
111171a0025964
1253725560400
1324c3aa09334
1411c517c13b2
15880a01bc26
hex4c68193440

328163996736 has 63 divisors (see below), whose sum is σ = 940662254181. Its totient is φ = 109383416064.

The previous prime is 328163996729. The next prime is 328163996737. The reversal of 328163996736 is 637699361823.

The square root of 328163996736 is 572856.

It is a perfect power (a square), and thus also a powerful number.

328163996736 is a `hidden beast` number, since 328 + 163 + 99 + 67 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257195036736 + 70968960000 = 507144^2 + 266400^2 .

It is not an unprimeable number, because it can be changed into a prime (328163996737) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 13736610 + ... + 13760478.

Almost surely, 2328163996736 is an apocalyptic number.

328163996736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

328163996736 is the 572856-th square number.

It is an amenable number.

328163996736 is an abundant number, since it is smaller than the sum of its proper divisors (612498257445).

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

328163996736 is an frugal number, since it uses more digits than its factorization.

328163996736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47756 (or 23874 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 328163996736 in words is "three hundred twenty-eight billion, one hundred sixty-three million, nine hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23869 47738 71607 95476 143214 190952 214821 286428 381904 429642 572856 763808 859284 1145712 1527616 1718568 2291424 3437136 4582848 6874272 13748544 569729161 1139458322 1709187483 2278916644 3418374966 4557833288 5127562449 6836749932 9115666576 10255124898 13673499864 18231333152 20510249796 27346999728 36462666304 41020499592 54693999456 82040999184 109387998912 164081998368 328163996736