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12320729472 = 273112328571
BaseRepresentation
bin10110111100101111…
…10110100110000000
31011210122121220110210
423132113312212000
5200213101320342
65354323554120
7614214321042
oct133627664600
934718556423
1012320729472
115252804457
12247a22b940
13121473ca8c
1484c469a92
154c19c679c
hex2de5f6980

12320729472 has 64 divisors (see below), whose sum is σ = 32757226560. Its totient is φ = 4103109120.

The previous prime is 12320729437. The next prime is 12320729537. The reversal of 12320729472 is 27492702321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12320729472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416947 + ... + 445517.

It is an arithmetic number, because the mean of its divisors is an integer number (511831665).

Almost surely, 212320729472 is an apocalyptic number.

12320729472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12320729472 is an abundant number, since it is smaller than the sum of its proper divisors (20436497088).

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

12320729472 is a wasteful number, since it uses less digits than its factorization.

12320729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29711 (or 29699 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 12320729472 in words is "twelve billion, three hundred twenty million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1123 2246 3369 4492 6738 8984 13476 17968 26952 28571 35936 53904 57142 71872 85713 107808 114284 143744 171426 215616 228568 342852 431232 457136 685704 914272 1371408 1828544 2742816 3657088 5485632 10971264 32085233 64170466 96255699 128340932 192511398 256681864 385022796 513363728 770045592 1026727456 1540091184 2053454912 3080182368 4106909824 6160364736 12320729472