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150248757456 = 243272367197491
BaseRepresentation
bin1000101111101110000…
…1100001100011010000
3112100211002112200221200
42023323201201203100
54430202140214311
6153005012151200
713566206236440
oct2137341414320
9470732480850
10150248757456
11587a1563326
1225152008500
1311225c78415
1473b4826120
153d9586a556
hex22fb8618d0

150248757456 has 480 divisors, whose sum is σ = 512560908288. Its totient is φ = 40161623040.

The previous prime is 150248757443. The next prime is 150248757467. The reversal of 150248757456 is 654757842051.

It is a happy number.

150248757456 is a `hidden beast` number, since 1 + 502 + 4 + 87 + 5 + 7 + 4 + 56 = 666.

150248757456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 306005371 + ... + 306005861.

Almost surely, 2150248757456 is an apocalyptic number.

150248757456 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 150248757456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256280454144).

150248757456 is an abundant number, since it is smaller than the sum of its proper divisors (362312150832).

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

150248757456 is a wasteful number, since it uses less digits than its factorization.

150248757456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 150248757456 in words is "one hundred fifty billion, two hundred forty-eight million, seven hundred fifty-seven thousand, four hundred fifty-six".