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150643344384 = 210321323112
BaseRepresentation
bin1000110001001100001…
…0110000010000000000
3112101211121000210110100
42030103002300100000
54432004144010014
6153112105402400
713612040204601
oct2142302602000
9471747023410
10150643344384
1158984271325
1225242199400
1311289942c00
147410dbbda8
153dba310009
hex23130b0400

150643344384 has 297 divisors, whose sum is σ = 472532564829. Its totient is φ = 46202757120.

The previous prime is 150643344377. The next prime is 150643344419. The reversal of 150643344384 is 483443346051.

The square root of 150643344384 is 388128.

It is a perfect power (a square), and thus also a powerful number.

150643344384 is a `hidden beast` number, since 150 + 64 + 3 + 3 + 4 + 438 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22284518400 + 128358825984 = 149280^2 + 358272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 484383589 + ... + 484383899.

Almost surely, 2150643344384 is an apocalyptic number.

150643344384 is the 388128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150643344384

150643344384 is an abundant number, since it is smaller than the sum of its proper divisors (321889220445).

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

150643344384 is an equidigital number, since it uses as much as digits as its factorization.

150643344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 150643344384 in words is "one hundred fifty billion, six hundred forty-three million, three hundred forty-four thousand, three hundred eighty-four".