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12934375728 = 2436738310501
BaseRepresentation
bin11000000101111001…
…01110100100110000
31020101102022100212220
430002330232210300
5202442200010403
65535244321040
7635345244141
oct140274564460
936342270786
1012934375728
115538132a1a
12260b843180
1312b1905a81
148a9b65ac8
1550a7dc953
hex302f2e930

12934375728 has 80 divisors (see below), whose sum is σ = 34004299776. Its totient is φ = 4235616000.

The previous prime is 12934375721. The next prime is 12934375733. The reversal of 12934375728 is 82757343921.

It is not an unprimeable number, because it can be changed into a prime (12934375721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226478 + ... + 1236978.

Almost surely, 212934375728 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 12934375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17002149888).

12934375728 is an abundant number, since it is smaller than the sum of its proper divisors (21069924048).

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

12934375728 is a wasteful number, since it uses less digits than its factorization.

12934375728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962 (or 10956 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 12934375728 in words is "twelve billion, nine hundred thirty-four million, three hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 383 402 536 766 804 1072 1149 1532 1608 2298 3064 3216 4596 6128 9192 10501 18384 21002 25661 31503 42004 51322 63006 76983 84008 102644 126012 153966 168016 205288 252024 307932 410576 504048 615864 703567 1231728 1407134 2110701 2814268 4021883 4221402 5628536 8043766 8442804 11257072 12065649 16087532 16885608 24131298 32175064 33771216 48262596 64350128 96525192 193050384 269466161 538932322 808398483 1077864644 1616796966 2155729288 3233593932 4311458576 6467187864 12934375728