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20147493960 = 233351131227241
BaseRepresentation
bin10010110000111000…
…100101110001001000
31221000010001201221000
4102300320211301020
5312230224301320
613131114415000
71312162605306
oct226070456110
957003051830
1020147493960
1185a980a460
123aa3431460
131b91109c79
14d91b1b276
157cdba2c90
hex4b0e25c48

20147493960 has 512 divisors, whose sum is σ = 76275302400. Its totient is φ = 4686336000.

The previous prime is 20147493907. The next prime is 20147493979. The reversal of 20147493960 is 6939474102.

It is a happy number.

20147493960 is a `hidden beast` number, since 2 + 0 + 1 + 474 + 93 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 83599440 + ... + 83599680.

It is an arithmetic number, because the mean of its divisors is an integer number (148975200).

Almost surely, 220147493960 is an apocalyptic number.

20147493960 is a gapful number since it is divisible by the number (20) 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 20147493960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137651200).

20147493960 is an abundant number, since it is smaller than the sum of its proper divisors (56127808440).

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

20147493960 is a wasteful number, since it uses less digits than its factorization.

20147493960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20147493960 in words is "twenty billion, one hundred forty-seven million, four hundred ninety-three thousand, nine hundred sixty".