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12907663848 = 23331723152833
BaseRepresentation
bin11000000010101101…
…10101000111101000
31020022120001021002000
430001112311013220
5202413330220343
65532452011000
7634602222012
oct140126650750
936276037060
1012907663848
115524048992
122602900a60
1312a9212621
148a63b11b2
155082b2ed3
hex3015b51e8

12907663848 has 128 divisors (see below), whose sum is σ = 39614572800. Its totient is φ = 3873374208.

The previous prime is 12907663793. The next prime is 12907663877. The reversal of 12907663848 is 84836670921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12907663794 and 12907663803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8040 + ... + 160872.

It is an arithmetic number, because the mean of its divisors is an integer number (309488850).

Almost surely, 212907663848 is an apocalyptic number.

12907663848 is a gapful number since it is divisible by the number (18) 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 12907663848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807286400).

12907663848 is an abundant number, since it is smaller than the sum of its proper divisors (26706908952).

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

12907663848 is a wasteful number, since it uses less digits than its factorization.

12907663848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152888 (or 152878 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12907663848 in words is "twelve billion, nine hundred seven million, six hundred sixty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 184 204 207 216 276 306 391 408 414 459 552 612 621 782 828 918 1173 1224 1242 1564 1656 1836 2346 2484 3128 3519 3672 4692 4968 7038 9384 10557 14076 21114 28152 42228 84456 152833 305666 458499 611332 916998 1222664 1375497 1833996 2598161 2750994 3515159 3667992 4126491 5196322 5501988 7030318 7794483 8252982 10392644 10545477 11003976 14060636 15588966 16505964 20785288 21090954 23383449 28121272 31177932 31636431 33011928 42181908 46766898 59757703 62355864 63272862 70150347 84363816 93533796 94909293 119515406 126545724 140300694 179273109 187067592 189818586 239030812 253091448 280601388 358546218 379637172 478061624 537819327 561202776 717092436 759274344 1075638654 1434184872 1613457981 2151277308 3226915962 4302554616 6453831924 12907663848