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12796255392 = 2533140910513
BaseRepresentation
bin10111110101011011…
…10101110010100000
31020000210102010101220
423322231311302200
5202201320133032
65513432055040
7632050243014
oct137255656240
936023363356
1012796255392
115477175088
122591534480
13128c10616b
14895690544
154ed60812c
hex2fab75ca0

12796255392 has 96 divisors (see below), whose sum is σ = 34761807360. Its totient is φ = 4117340160.

The previous prime is 12796255387. The next prime is 12796255397. The reversal of 12796255392 is 29355269721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12796255387) and next prime (12796255397).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12796255397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211928 + ... + 1222440.

It is an arithmetic number, because the mean of its divisors is an integer number (362102160).

Almost surely, 212796255392 is an apocalyptic number.

12796255392 is a gapful number since it is divisible by the number (12) 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 12796255392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380903680).

12796255392 is an abundant number, since it is smaller than the sum of its proper divisors (21965551968).

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

12796255392 is a wasteful number, since it uses less digits than its factorization.

12796255392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10958 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The spelling of 12796255392 in words is "twelve billion, seven hundred ninety-six million, two hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 409 496 744 818 992 1227 1488 1636 2454 2976 3272 4908 6544 9816 10513 12679 13088 19632 21026 25358 31539 38037 39264 42052 50716 63078 76074 84104 101432 126156 152148 168208 202864 252312 304296 325903 336416 405728 504624 608592 651806 977709 1009248 1217184 1303612 1955418 2607224 3910836 4299817 5214448 7821672 8599634 10428896 12899451 15643344 17199268 25798902 31286688 34398536 51597804 68797072 103195608 133294327 137594144 206391216 266588654 399882981 412782432 533177308 799765962 1066354616 1599531924 2132709232 3199063848 4265418464 6398127696 12796255392