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10162162136 = 2372294320789
BaseRepresentation
bin10010111011011011…
…00100100111011000
3222020012220022202102
421131231210213120
5131303003142021
64400214222532
7506553644600
oct113555444730
928205808672
1010162162136
114345303905
121b77354a48
13c5c4870b9
146c58d5c00
153e724100b
hex25db649d8

10162162136 has 96 divisors (see below), whose sum is σ = 23463594000. Its totient is φ = 4107043584.

The previous prime is 10162162123. The next prime is 10162162189. The reversal of 10162162136 is 63126126101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 10162162099 and 10162162108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478430 + ... + 499218.

Almost surely, 210162162136 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 10162162136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731797000).

10162162136 is an abundant number, since it is smaller than the sum of its proper divisors (13301431864).

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

10162162136 is a wasteful number, since it uses less digits than its factorization.

10162162136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20881 (or 20870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 10162162136 its reverse (63126126101), we get a palindrome (73288288237).

The spelling of 10162162136 in words is "ten billion, one hundred sixty-two million, one hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 43 49 56 58 86 98 116 172 196 203 232 301 344 392 406 602 812 1204 1247 1421 1624 2107 2408 2494 2842 4214 4988 5684 8428 8729 9976 11368 16856 17458 20789 34916 41578 61103 69832 83156 122206 145523 166312 244412 291046 488824 582092 602881 893927 1018661 1164184 1205762 1787854 2037322 2411524 3575708 4074644 4220167 4823048 6257489 7151416 8149288 8440334 12514978 16880668 25029956 25923883 29541169 33761336 43802423 50059912 51847766 59082338 87604846 103695532 118164676 175209692 181467181 207391064 236329352 350419384 362934362 725868724 1270270267 1451737448 2540540534 5081081068 10162162136