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156006005056 = 26113146715307
BaseRepresentation
bin1001000101001010101…
…1101011100101000000
3112220200022211011221021
42101102223223211000
510024000014130211
6155400154035224
714161655110036
oct2212253534500
9486608734837
10156006005056
11601863606a0
122629a118b14
131193296b5c5
14779d2c4556
1540d1001771
hex2452aeb940

156006005056 has 112 divisors (see below), whose sum is σ = 349380974592. Its totient is φ = 68472921600.

The previous prime is 156006005053. The next prime is 156006005069. The reversal of 156006005056 is 650500600651.

It is a super-2 number, since 2×1560060050562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156006005053) 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, 10184155 + ... + 10199461.

Almost surely, 2156006005056 is an apocalyptic number.

156006005056 is a gapful number since it is divisible by the number (16) 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 156006005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174690487296).

156006005056 is an abundant number, since it is smaller than the sum of its proper divisors (193374969536).

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

156006005056 is a wasteful number, since it uses less digits than its factorization.

156006005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15828 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 156006005056 in words is "one hundred fifty-six billion, six million, five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 467 496 682 704 934 992 1364 1868 1984 2728 3736 5137 5456 7472 10274 10912 14477 14944 15307 20548 21824 28954 29888 30614 41096 57908 61228 82192 115816 122456 159247 164384 168377 231632 244912 318494 328768 336754 463264 474517 489824 636988 673508 926528 949034 979648 1273976 1347016 1898068 2547952 2694032 3796136 5095904 5219687 5388064 7148369 7592272 10191808 10439374 10776128 14296738 15184544 20878748 28593476 30369088 41757496 57186952 78632059 83514992 114373904 157264118 167029984 221599439 228747808 314528236 334059968 443198878 457495616 629056472 886397756 1258112944 1772795512 2437593829 2516225888 3545591024 4875187658 5032451776 7091182048 9750375316 14182364096 19500750632 39001501264 78003002528 156006005056