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12472160976 = 2434111753971
BaseRepresentation
bin10111001110110011…
…00001001011010000
31012012012120102110000
423213121201023100
5201020333122401
65421333410000
7621033422232
oct134731411320
935165512400
1012472160976
115320234160
122500a99900
131239c20412
14864608252
154cee3a186
hex2e76612d0

12472160976 has 400 divisors, whose sum is σ = 42526617408. Its totient is φ = 3486412800.

The previous prime is 12472160933. The next prime is 12472161041. The reversal of 12472160976 is 67906127421.

12472160976 is a `hidden beast` number, since 12 + 4 + 7 + 21 + 609 + 7 + 6 = 666.

It is a super-2 number, since 2×124721609762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12844171 + ... + 12845141.

Almost surely, 212472160976 is an apocalyptic number.

12472160976 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 12472160976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263308704).

12472160976 is an abundant number, since it is smaller than the sum of its proper divisors (30054456432).

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

12472160976 is a wasteful number, since it uses less digits than its factorization.

12472160976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12472160976 in words is "twelve billion, four hundred seventy-two million, one hundred sixty thousand, nine hundred seventy-six".