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12758975424 = 2632132131071
BaseRepresentation
bin10111110000111111…
…01000001111000000
31012221012021002220100
423320133220033000
5202112244203144
65510021042400
7631115334036
oct137037501700
935835232810
1012758975424
115458122098
122580b56400
131284482700
14890748556
154ea1e2269
hex2f87e83c0

12758975424 has 126 divisors (see below), whose sum is σ = 39601176576. Its totient is φ = 3925808640.

The previous prime is 12758975407. The next prime is 12758975441. The reversal of 12758975424 is 42457985721.

12758975424 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 8 + 97 + 542 + 4 = 666.

12758975424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12758975407) and next prime (12758975441).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 31809 + ... + 162879.

Almost surely, 212758975424 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 12758975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800588288).

12758975424 is an abundant number, since it is smaller than the sum of its proper divisors (26842201152).

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

12758975424 is a wasteful number, since it uses less digits than its factorization.

12758975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131089 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 12758975424 in words is "twelve billion, seven hundred fifty-eight million, nine hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344 131071 262142 393213 524284 786426 1048568 1179639 1572852 1703923 2097136 2359278 3145704 3407846 4194272 4718556 5111769 6291408 6815692 8388544 9437112 10223538 12582816 13631384 15335307 18874224 20447076 22150999 25165632 27262768 30670614 37748448 40894152 44301998 54525536 61341228 66452997 75496896 81788304 88603996 109051072 122682456 132905994 163576608 177207992 199358991 245364912 265811988 327153216 354415984 398717982 490729824 531623976 708831968 797435964 981459648 1063247952 1417663936 1594871928 2126495904 3189743856 4252991808 6379487712 12758975424