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152150252544 = 21032101223733
BaseRepresentation
bin1000110110110011011…
…1001001110000000000
3112112201121112122211200
42031230313021300000
54443100431040134
6153521415541200
713664265544053
oct2155467116000
9475647478750
10152150252544
115958793a774
12255a298a800
1311469bb3644
14751519ca9a
153e57771499
hex236cdc9c00

152150252544 has 264 divisors, whose sum is σ = 446277965952. Its totient is φ = 49921228800.

The previous prime is 152150252543. The next prime is 152150252561. The reversal of 152150252544 is 445252051251.

152150252544 is a `hidden beast` number, since 1 + 52 + 1 + 502 + 52 + 54 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152150252499 and 152150252508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152150252543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207571602 + ... + 207572334.

Almost surely, 2152150252544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152150252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223138982976).

152150252544 is an abundant number, since it is smaller than the sum of its proper divisors (294127713408).

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

152150252544 is a wasteful number, since it uses less digits than its factorization.

152150252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 152150252544 in words is "one hundred fifty-two billion, one hundred fifty million, two hundred fifty-two thousand, five hundred forty-four".