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10765600216 = 2373719326921
BaseRepresentation
bin10100000011010111…
…00000010111011000
31000210021101011011221
422001223200113120
5134021443201331
64540132101424
7530532043360
oct120153402730
930707334157
1010765600216
11462499a868
122105464874
1310274b7857
14741ad59a0
154301dc711
hex281ae05d8

10765600216 has 64 divisors (see below), whose sum is σ = 23816278080. Its totient is φ = 4465704960.

The previous prime is 10765600213. The next prime is 10765600243. The reversal of 10765600216 is 61200656701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765600211) 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, 386436 + ... + 413356.

It is an arithmetic number, because the mean of its divisors is an integer number (372129345).

Almost surely, 210765600216 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 10765600216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908139040).

10765600216 is an abundant number, since it is smaller than the sum of its proper divisors (13050677864).

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

10765600216 is a wasteful number, since it uses less digits than its factorization.

10765600216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27164 (or 27160 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10765600216 in words is "ten billion, seven hundred sixty-five million, six hundred thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 193 259 296 386 518 772 1036 1351 1544 2072 2702 5404 7141 10808 14282 26921 28564 49987 53842 57128 99974 107684 188447 199948 215368 376894 399896 753788 996077 1507576 1992154 3984308 5195753 6972539 7968616 10391506 13945078 20783012 27890156 36370271 41566024 55780312 72740542 145481084 192242861 290962168 384485722 768971444 1345700027 1537942888 2691400054 5382800108 10765600216