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14993178984 = 2332729748371
BaseRepresentation
bin11011111011010100…
…11100000101101000
31102200220022102000100
431331222130011220
5221201223211414
610515431505400
71040354630040
oct157552340550
942626272010
1014993178984
1163a4293313
122aa5228260
13154c2cb454
14a2336a720
155cb418609
hex37da9c168

14993178984 has 48 divisors (see below), whose sum is σ = 46407460320. Its totient is φ = 4283765280.

The previous prime is 14993178979. The next prime is 14993178989. The reversal of 14993178984 is 48987139941.

It is an interprime number because it is at equal distance from previous prime (14993178979) and next prime (14993178989).

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 not an unprimeable number, because it can be changed into a prime (14993178989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14873682 + ... + 14874689.

It is an arithmetic number, because the mean of its divisors is an integer number (966822090).

Almost surely, 214993178984 is an apocalyptic number.

14993178984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14993178984 is an abundant number, since it is smaller than the sum of its proper divisors (31414281336).

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

14993178984 is a wasteful number, since it uses less digits than its factorization.

14993178984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29748390 (or 29748383 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 14993178984 in words is "fourteen billion, nine hundred ninety-three million, one hundred seventy-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 29748371 59496742 89245113 118993484 178490226 208238597 237986968 267735339 356980452 416477194 535470678 624715791 713960904 832954388 1070941356 1249431582 1665908776 1874147373 2141882712 2498863164 3748294746 4997726328 7496589492 14993178984