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152100074960 = 2451901250937
BaseRepresentation
bin1000110110100111011…
…1101111010111010000
3112112121010010101010122
42031221313233113100
54443000104344320
6153512424245412
713663116206531
oct2155167572720
9475533111118
10152100074960
1159561588599
122558a010868
131145c695472
14750c65a688
153e5315dd25
hex2369def5d0

152100074960 has 20 divisors (see below), whose sum is σ = 353632674468. Its totient is φ = 60840029952.

The previous prime is 152100074947. The next prime is 152100074977. The reversal of 152100074960 is 69470001251.

It can be written as a sum of positive squares in 2 ways, for example, as 107193379216 + 44906695744 = 327404^2 + 211912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 152100074960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950625389 + ... + 950625548.

Almost surely, 2152100074960 is an apocalyptic number.

152100074960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152100074960 is an abundant number, since it is smaller than the sum of its proper divisors (201532599508).

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

152100074960 is a wasteful number, since it uses less digits than its factorization.

152100074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901250950 (or 1901250944 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 152100074960 in words is "one hundred fifty-two billion, one hundred million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1901250937 3802501874 7605003748 9506254685 15210007496 19012509370 30420014992 38025018740 76050037480 152100074960