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12147282956424 = 233711317113721799
BaseRepresentation
bin1011000011000100001001…
…1111000101000010001000
31121000021021000221111120110
42300301002133011002020
53043010113414101144
641500215034554320
72362416665333640
oct260610237050210
947007230844513
1012147282956424
1139636a76059a0
1214422845989a0
136a163a098a45
142ddd08581520
15160ea32000b9
hexb0c427c5088

12147282956424 has 512 divisors, whose sum is σ = 39924596736000. Its totient is φ = 2988244224000.

The previous prime is 12147282956401. The next prime is 12147282956489. The reversal of 12147282956424 is 42465928274121.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557229477 + ... + 557251275.

It is an arithmetic number, because the mean of its divisors is an integer number (77977728000).

Almost surely, 212147282956424 is an apocalyptic number.

12147282956424 is a gapful number since it is divisible by the number (14) 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 12147282956424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19962298368000).

12147282956424 is an abundant number, since it is smaller than the sum of its proper divisors (27777313779576).

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

12147282956424 is a wasteful number, since it uses less digits than its factorization.

12147282956424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22065 (or 22061 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 12147282956424 in words is "twelve trillion, one hundred forty-seven billion, two hundred eighty-two million, nine hundred fifty-six thousand, four hundred twenty-four".