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149599422504 = 233371929792273
BaseRepresentation
bin1000101101010011010…
…0100000100000101000
3112022010211201001212000
42023110310200200220
54422334423010004
6152420334451000
713544133052560
oct2132464404050
9468124631760
10149599422504
1158498a79374
1224bb0663a60
131115159805c
1473524b9da0
153d58854c39
hex22d4d20828

149599422504 has 512 divisors, whose sum is σ = 523929600000. Its totient is φ = 38584885248.

The previous prime is 149599422473. The next prime is 149599422517. The reversal of 149599422504 is 405224995941.

149599422504 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 99 + 42 + 2 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 65814712 + ... + 65816984.

It is an arithmetic number, because the mean of its divisors is an integer number (1023300000).

Almost surely, 2149599422504 is an apocalyptic number.

149599422504 is a gapful number since it is divisible by the number (14) 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 149599422504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261964800000).

149599422504 is an abundant number, since it is smaller than the sum of its proper divisors (374330177496).

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

149599422504 is a wasteful number, since it uses less digits than its factorization.

149599422504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 149599422504 in words is "one hundred forty-nine billion, five hundred ninety-nine million, four hundred twenty-two thousand, five hundred four".