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113971869504 = 2633124952807
BaseRepresentation
bin110101000100101000…
…0001011011101000000
3101220011220011212001000
41222021100023131000
53331403244311004
6124205152412000
711143220622633
oct1521120133500
9356156155030
10113971869504
1144376170499
121a108b47000
13a99434c54c
1457328d3c1a
152e70b62c39
hex1a8940b740

113971869504 has 112 divisors (see below), whose sum is σ = 335330800000. Its totient is φ = 37959487488.

The previous prime is 113971869503. The next prime is 113971869553. The reversal of 113971869504 is 405968179311.

113971869504 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 71 + 8 + 69 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113971869503) 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, 2131869 + ... + 2184675.

It is an arithmetic number, because the mean of its divisors is an integer number (2994025000).

Almost surely, 2113971869504 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 113971869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167665400000).

113971869504 is an abundant number, since it is smaller than the sum of its proper divisors (221358930496).

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

113971869504 is a wasteful number, since it uses less digits than its factorization.

113971869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54077 (or 54061 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 113971869504 in words is "one hundred thirteen billion, nine hundred seventy-one million, eight hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1249 1728 2498 3747 4996 7494 9992 11241 14988 19984 22482 29976 33723 39968 44964 52807 59952 67446 79936 89928 105614 119904 134892 158421 179856 211228 239808 269784 316842 359712 422456 475263 539568 633684 719424 844912 950526 1079136 1267368 1425789 1689824 1901052 2158272 2534736 2851578 3379648 3802104 5069472 5703156 7604208 10138944 11406312 15208416 22812624 30416832 45625248 65955943 91250496 131911886 197867829 263823772 395735658 527647544 593603487 791471316 1055295088 1187206974 1582942632 1780810461 2110590176 2374413948 3165885264 3561620922 4221180352 4748827896 6331770528 7123241844 9497655792 12663541056 14246483688 18995311584 28492967376 37990623168 56985934752 113971869504