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102950737920 = 21132517232857
BaseRepresentation
bin101111111100001010…
…1111001100000000000
3100211201210222100201100
41133320111321200000
53141320342103140
6115143411334400
710303133555652
oct1377025714000
9324653870640
10102950737920
113a73000a188
1217b51bb1400
139928c36704
144da8cc26d2
152a282ec530
hex17f8579800

102950737920 has 576 divisors, whose sum is σ = 394361472960. Its totient is φ = 24706547712.

The previous prime is 102950737849. The next prime is 102950737921. The reversal of 102950737920 is 29737059201.

102950737920 is a `hidden beast` number, since 1 + 0 + 29 + 507 + 37 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102950737921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36033132 + ... + 36035988.

It is an arithmetic number, because the mean of its divisors is an integer number (684655335).

Almost surely, 2102950737920 is an apocalyptic number.

102950737920 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 102950737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197180736480).

102950737920 is an abundant number, since it is smaller than the sum of its proper divisors (291410735040).

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

102950737920 is a wasteful number, since it uses less digits than its factorization.

102950737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 102950737920 in words is "one hundred two billion, nine hundred fifty million, seven hundred thirty-seven thousand, nine hundred twenty".