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10516155156 = 2234138273019
BaseRepresentation
bin10011100101100111…
…11100101100010100
31000010220000000220000
421302303330230110
5133014113431111
64455301411300
7521412562323
oct116263745424
930126000800
1010516155156
114507106021
122055a09b30
13cb790a920
1471a9220ba
15418367c56
hex272cfcb14

10516155156 has 120 divisors (see below), whose sum is σ = 29651640480. Its totient is φ = 3230756928.

The previous prime is 10516155119. The next prime is 10516155157. The reversal of 10516155156 is 65155161501.

It is a happy number.

10516155156 is a `hidden beast` number, since 1 + 0 + 51 + 6 + 1 + 551 + 56 = 666.

It is a super-2 number, since 2×105161551562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10516155156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516155157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3481815 + ... + 3484833.

It is an arithmetic number, because the mean of its divisors is an integer number (247097004).

Almost surely, 210516155156 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 10516155156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825820240).

10516155156 is an abundant number, since it is smaller than the sum of its proper divisors (19135485324).

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

10516155156 is a wasteful number, since it uses less digits than its factorization.

10516155156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 10516155156 in words is "ten billion, five hundred sixteen million, one hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 827 1053 1404 1654 2106 2481 3019 3308 4212 4962 6038 7443 9057 9924 10751 12076 14886 18114 21502 22329 27171 29772 32253 36228 39247 43004 44658 54342 64506 66987 78494 81513 89316 96759 108684 117741 129012 133974 156988 163026 193518 235482 244539 267948 290277 326052 353223 387036 470964 489078 580554 706446 870831 978156 1059669 1161108 1412892 1741662 2119338 2496713 3179007 3483324 4238676 4993426 6358014 7490139 9986852 12716028 14980278 22470417 29960556 32457269 44940834 64914538 67411251 89881668 97371807 129829076 134822502 194743614 202233753 269645004 292115421 389487228 404467506 584230842 808935012 876346263 1168461684 1752692526 2629038789 3505385052 5258077578 10516155156