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20112910636 = 227213194110133
BaseRepresentation
bin10010101110110100…
…101010100100101100
31220220200222201112011
4102232310222210230
5312142401120021
613123441251004
71311262630300
oct225664524454
956820881464
1020112910636
1185912394a5
123a93933a64
131b86bbba70
14d8b2b7d00
157cab20de1
hex4aed2a92c

20112910636 has 144 divisors (see below), whose sum is σ = 47551160160. Its totient is φ = 7353400320.

The previous prime is 20112910633. The next prime is 20112910637. The reversal of 20112910636 is 63601921102.

It is a junction number, because it is equal to n+sod(n) for n = 20112910598 and 20112910607.

It is not an unprimeable number, because it can be changed into a prime (20112910633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979826 + ... + 1989958.

It is an arithmetic number, because the mean of its divisors is an integer number (330216390).

Almost surely, 220112910636 is an apocalyptic number.

20112910636 is a gapful number since it is divisible by the number (26) 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 20112910636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775580080).

20112910636 is an abundant number, since it is smaller than the sum of its proper divisors (27438249524).

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

20112910636 is a wasteful number, since it uses less digits than its factorization.

20112910636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 20112910636 in words is "twenty billion, one hundred twelve million, nine hundred ten thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 41 49 52 76 82 91 98 133 164 182 196 247 266 287 364 494 532 533 574 637 779 931 988 1066 1148 1274 1558 1729 1862 2009 2132 2548 3116 3458 3724 3731 4018 5453 6916 7462 8036 10127 10133 10906 12103 14924 20254 20266 21812 24206 26117 38171 40508 40532 48412 52234 70889 70931 76342 104468 131729 141778 141862 152684 192527 263458 283556 283724 385054 415453 496223 496517 526916 770108 830906 922103 992446 993034 1347689 1661812 1844206 1984892 1986068 2502851 2695378 2908171 3688412 5005702 5390756 5400889 5816342 6454721 7893607 9433823 10011404 10801778 11632684 12909442 15787214 17519957 18867646 20357197 21603556 25818884 31574428 35039914 37735292 37806223 40714394 55255249 70079828 75612446 81428788 102616891 110510498 122639699 151224892 205233782 221020996 245279398 264643561 386786743 410467564 490558796 529287122 718318237 773573486 1058574244 1436636474 1547146972 2873272948 5028227659 10056455318 20112910636