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12972996792 = 2332726397871
BaseRepresentation
bin11000001010100000…
…00011100010111000
31020111002222112000200
430011100003202320
5203032041344132
65543144202200
7636324440040
oct140520034270
936432875020
1012972996792
115557a11558
122620769360
1312b9908a82
148b0d3a720
1550ddbad7c
hex3054038b8

12972996792 has 96 divisors (see below), whose sum is σ = 40307604480. Its totient is φ = 3692439360.

The previous prime is 12972996791. The next prime is 12972996847. The reversal of 12972996792 is 29769927921.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972996791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83617 + ... + 181487.

It is an arithmetic number, because the mean of its divisors is an integer number (419870880).

Almost surely, 212972996792 is an apocalyptic number.

12972996792 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 12972996792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153802240).

12972996792 is an abundant number, since it is smaller than the sum of its proper divisors (27334607688).

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

12972996792 is a wasteful number, since it uses less digits than its factorization.

12972996792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98153 (or 98146 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 12972996792 in words is "twelve billion, nine hundred seventy-two million, nine hundred ninety-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 263 504 526 789 1052 1578 1841 2104 2367 3156 3682 4734 5523 6312 7364 9468 11046 14728 16569 18936 22092 33138 44184 66276 97871 132552 195742 293613 391484 587226 685097 782968 880839 1174452 1370194 1761678 2055291 2348904 2740388 3523356 4110582 5480776 6165873 7046712 8221164 12331746 16442328 24663492 25740073 49326984 51480146 77220219 102960292 154440438 180180511 205920584 231660657 308880876 360361022 463321314 540541533 617761752 720722044 926642628 1081083066 1441444088 1621624599 1853285256 2162166132 3243249198 4324332264 6486498396 12972996792