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14987492640 = 253355367977
BaseRepresentation
bin11011111010101001…
…01111110100100000
31102200111121111211000
431331110233310200
5221143244231030
610515105552000
71040255404551
oct157524576440
942614544730
1014987492640
1163a105a05a
122aa3345600
13154b08a153
14a226ca328
155cab93860
hex37d52fd20

14987492640 has 384 divisors, whose sum is σ = 54299185920. Its totient is φ = 3858776064.

The previous prime is 14987492629. The next prime is 14987492647. The reversal of 14987492640 is 4629478941.

14987492640 is a `hidden beast` number, since 1 + 4 + 98 + 7 + 492 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14987492647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15339832 + ... + 15340808.

It is an arithmetic number, because the mean of its divisors is an integer number (141404130).

Almost surely, 214987492640 is an apocalyptic number.

14987492640 is a gapful number since it is divisible by the number (10) 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 14987492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27149592960).

14987492640 is an abundant number, since it is smaller than the sum of its proper divisors (39311693280).

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

14987492640 is a wasteful number, since it uses less digits than its factorization.

14987492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14987492640 in words is "fourteen billion, nine hundred eighty-seven million, four hundred ninety-two thousand, six hundred forty".