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150764825232 = 24337253612203
BaseRepresentation
bin1000110001101001001…
…0001010101010010000
3112102011001121122212000
42030122102022222100
54432231243401412
6153132125234000
713615043604300
oct2143222125220
9472131548760
10150764825232
1158a368a471a
1225276a02900
13112a8b67b78
1474231a1600
153dc5d094dc
hex231a48aa90

150764825232 has 480 divisors, whose sum is σ = 521547154560. Its totient is φ = 41551211520.

The previous prime is 150764825221. The next prime is 150764825251. The reversal of 150764825232 is 232528467051.

150764825232 is a `hidden beast` number, since 1 + 50 + 76 + 4 + 8 + 2 + 523 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68435043 + ... + 68437245.

It is an arithmetic number, because the mean of its divisors is an integer number (1086556572).

Almost surely, 2150764825232 is an apocalyptic number.

150764825232 is a gapful number since it is divisible by the number (12) 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 150764825232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260773577280).

150764825232 is an abundant number, since it is smaller than the sum of its proper divisors (370782329328).

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

150764825232 is a wasteful number, since it uses less digits than its factorization.

150764825232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 150764825232 in words is "one hundred fifty billion, seven hundred sixty-four million, eight hundred twenty-five thousand, two hundred thirty-two".