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316288752104 = 231317349512597
BaseRepresentation
bin1001001101001000100…
…01110101100111101000
31010020101201002100222002
410212210101311213220
520140224410031404
6401145005350132
731564634014463
oct4464421654750
91106351070862
10316288752104
111121568338a6
1251370568348
1323a97675070
141144659a2da
1583626e0c1e
hex49a44759e8

316288752104 has 64 divisors (see below), whose sum is σ = 678167154000. Its totient is φ = 136998457344.

The previous prime is 316288752083. The next prime is 316288752107. The reversal of 316288752104 is 401257882613.

It can be written as a sum of positive squares in 8 ways, for example, as 247408749604 + 68880002500 = 497402^2 + 262450^2 .

It is not an unprimeable number, because it can be changed into a prime (316288752107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360734 + ... + 873330.

Almost surely, 2316288752104 is an apocalyptic number.

316288752104 is a gapful number since it is divisible by the number (34) 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 316288752104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339083577000).

316288752104 is an abundant number, since it is smaller than the sum of its proper divisors (361878401896).

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

316288752104 is a wasteful number, since it uses less digits than its factorization.

316288752104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512982 (or 512978 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 316288752104 in words is "three hundred sixteen billion, two hundred eighty-eight million, seven hundred fifty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 349 442 698 884 1396 1768 2792 4537 5933 9074 11866 18148 23732 36296 47464 77129 154258 308516 512597 617032 1025194 2050388 4100776 6663761 8714149 13327522 17428298 26655044 34856596 53310088 69713192 113283937 178896353 226567874 357792706 453135748 715585412 906271496 1431170824 2325652589 3041238001 4651305178 6082476002 9302610356 12164952004 18605220712 24329904008 39536094013 79072188026 158144376052 316288752104