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12907532946 = 23711223910627
BaseRepresentation
bin11000000010101100…
…10101001010010010
31020022112210121111210
430001112111022102
5202413312023241
65532445120550
7634601135250
oct140126251222
936275717453
1012907532946
115523a69600
122602859156
1312a9197b79
148a63795d0
15508289316
hex301595292

12907532946 has 96 divisors (see below), whose sum is σ = 32567592960. Its totient is φ = 3338264160.

The previous prime is 12907532933. The next prime is 12907532951. The reversal of 12907532946 is 64923570921.

It is a junction number, because it is equal to n+sod(n) for n = 12907532895 and 12907532904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209285 + ... + 1219911.

It is an arithmetic number, because the mean of its divisors is an integer number (339245760).

Almost surely, 212907532946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12907532946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283796480).

12907532946 is an abundant number, since it is smaller than the sum of its proper divisors (19660060014).

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

12907532946 is a wasteful number, since it uses less digits than its factorization.

12907532946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12907532946 in words is "twelve billion, nine hundred seven million, five hundred thirty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 239 242 363 462 478 717 726 847 1434 1673 1694 2541 2629 3346 5019 5082 5258 7887 10038 10627 15774 18403 21254 28919 31881 36806 55209 57838 63762 74389 86757 110418 116897 148778 173514 202433 223167 233794 350691 404866 446334 607299 701382 818279 1214598 1285867 1636558 2454837 2539853 2571734 3857601 4909674 5079706 7619559 7715202 9001069 15239118 17778971 18002138 27003207 27938383 35557942 53336913 54006414 55876766 83815149 106673826 167630298 195568681 307322213 391137362 586706043 614644426 921966639 1173412086 1843933278 2151255491 4302510982 6453766473 12907532946