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150995448864 = 253713295997
BaseRepresentation
bin1000110010100000000…
…1111011010000100000
3112102202010120120000000
42030220001323100200
54433214313330424
6153211044300000
713623544065351
oct2145001732040
9472663516000
10150995448864
1159044aa3667
12253200a1600
1311314884c60
147445a75d28
153ddb1b23c9
hex232807b420

150995448864 has 768 divisors, whose sum is σ = 510318144000. Its totient is φ = 43643142144.

The previous prime is 150995448841. The next prime is 150995448869. The reversal of 150995448864 is 468844599051.

150995448864 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 9 + 544 + 8 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (150995448869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1556654064 + ... + 1556654160.

It is an arithmetic number, because the mean of its divisors is an integer number (664476750).

Almost surely, 2150995448864 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 150995448864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255159072000).

150995448864 is an abundant number, since it is smaller than the sum of its proper divisors (359322695136).

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

150995448864 is an equidigital number, since it uses as much as digits as its factorization.

150995448864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 150995448864 in words is "one hundred fifty billion, nine hundred ninety-five million, four hundred forty-eight thousand, eight hundred sixty-four".