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103160274048 = 27321313152583
BaseRepresentation
bin110000000010011010…
…1001101110010000000
3100212021102020220020200
41200010311031302000
53142233012232143
6115220254405200
710311256601316
oct1400465156200
9325242226220
10103160274048
113a828315837
1217bb0200800
13996047c3a0
144dc8a680b6
152a3b8dc1d3
hex1804d4dc80

103160274048 has 192 divisors, whose sum is σ = 322135894080. Its totient is φ = 31498721280.

The previous prime is 103160274043. The next prime is 103160274131. The reversal of 103160274048 is 840472061301.

103160274048 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 602 + 7 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103160274043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935565 + ... + 1988147.

It is an arithmetic number, because the mean of its divisors is an integer number (1677791115).

Almost surely, 2103160274048 is an apocalyptic number.

103160274048 is a gapful number since it is divisible by the number (18) 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 103160274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161067947040).

103160274048 is an abundant number, since it is smaller than the sum of its proper divisors (218975620032).

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

103160274048 is a wasteful number, since it uses less digits than its factorization.

103160274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52747 (or 52732 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 103160274048 in words is "one hundred three billion, one hundred sixty million, two hundred seventy-four thousand, forty-eight".