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12991022352 = 243471129672
BaseRepresentation
bin11000001100101001…
…10100010100010000
31020112100220022110000
430012110310110100
5203101200203402
65545030410000
7636633603510
oct140624642420
936470808400
1012991022352
115567103410
122626800900
1312c057a599
148b34ad840
1551077bc1c
hex306534510

12991022352 has 600 divisors, whose sum is σ = 49228724160. Its totient is φ = 3209310720.

The previous prime is 12991022333. The next prime is 12991022353. The reversal of 12991022352 is 25322019921.

12991022352 is a `hidden beast` number, since 1 + 299 + 10 + 2 + 2 + 352 = 666.

It is a super-2 number, since 2×129910223522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12991022353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193895823 + ... + 193895889.

Almost surely, 212991022352 is an apocalyptic number.

12991022352 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 12991022352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24614362080).

12991022352 is an abundant number, since it is smaller than the sum of its proper divisors (36237701808).

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

12991022352 is a wasteful number, since it uses less digits than its factorization.

12991022352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12991022352 in words is "twelve billion, nine hundred ninety-one million, twenty-two thousand, three hundred fifty-two".