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150807453696 = 213341729461
BaseRepresentation
bin1000110001110011010…
…0110010000000000000
3112102021000211102010000
42030130310302000000
54432323202004241
6153140251040000
713616102130444
oct2143464620000
9472230742100
10150807453696
1158a58970059
1225289140000
13112b4941c03
147428ada824
153dc9929eb6
hex231cd32000

150807453696 has 560 divisors, whose sum is σ = 494554931640. Its totient is φ = 45581598720.

The previous prime is 150807453661. The next prime is 150807453761. The reversal of 150807453696 is 696354708051.

150807453696 is a `hidden beast` number, since 1 + 50 + 80 + 7 + 453 + 69 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135471108096 + 15336345600 = 368064^2 + 123840^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327130906 + ... + 327131366.

Almost surely, 2150807453696 is an apocalyptic number.

150807453696 is a gapful number since it is divisible by the number (16) 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 150807453696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247277465820).

150807453696 is an abundant number, since it is smaller than the sum of its proper divisors (343747477944).

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

150807453696 is an equidigital number, since it uses as much as digits as its factorization.

150807453696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 150807453696 in words is "one hundred fifty billion, eight hundred seven million, four hundred fifty-three thousand, six hundred ninety-six".