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12929630976 = 2832172911383
BaseRepresentation
bin11000000101010101…
…01000001100000000
31020101002101022022100
430002222220030000
5202434441142401
65534554510400
7635260023063
oct140252501400
936332338270
1012929630976
115535492139
12260a135400
1312b0934222
148a928c8da
1550a1a1b86
hex302aa8300

12929630976 has 216 divisors, whose sum is σ = 40836912480. Its totient is φ = 3916136448.

The previous prime is 12929630951. The next prime is 12929630983. The reversal of 12929630976 is 67903692921.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130181 + ... + 1141563.

It is an arithmetic number, because the mean of its divisors is an integer number (189059780).

Almost surely, 212929630976 is an apocalyptic number.

12929630976 is a gapful number since it is divisible by the number (16) 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 12929630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418456240).

12929630976 is an abundant number, since it is smaller than the sum of its proper divisors (27907281504).

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

12929630976 is a wasteful number, since it uses less digits than its factorization.

12929630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 12929630976 in words is "twelve billion, nine hundred twenty-nine million, six hundred thirty thousand, nine hundred seventy-six".