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10212617136 = 2432354117099
BaseRepresentation
bin10011000001011100…
…00010101110110000
3222100201211201000010
421200232002232300
5131403412222021
64405215454520
7511035545661
oct114056025660
928321751003
1010212617136
114370835457
121b90227440
13c69a71627
146cc4ab368
153eb8aa976
hex260b82bb0

10212617136 has 80 divisors (see below), whose sum is σ = 27582163200. Its totient is φ = 3249987840.

The previous prime is 10212617099. The next prime is 10212617141. The reversal of 10212617136 is 63171621201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588715 + ... + 605813.

It is an arithmetic number, because the mean of its divisors is an integer number (344777040).

Almost surely, 210212617136 is an apocalyptic number.

10212617136 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 10212617136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791081600).

10212617136 is an abundant number, since it is smaller than the sum of its proper divisors (17369546064).

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

10212617136 is a wasteful number, since it uses less digits than its factorization.

10212617136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17674 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10212617136 in words is "ten billion, two hundred twelve million, six hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 541 552 1082 1104 1623 2164 3246 4328 6492 8656 12443 12984 17099 24886 25968 34198 37329 49772 51297 68396 74658 99544 102594 136792 149316 199088 205188 273584 298632 393277 410376 597264 786554 820752 1179831 1573108 2359662 3146216 4719324 6292432 9250559 9438648 18501118 18877296 27751677 37002236 55503354 74004472 111006708 148008944 212762857 222013416 425525714 444026832 638288571 851051428 1276577142 1702102856 2553154284 3404205712 5106308568 10212617136