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999146925504 = 2632713312712269
BaseRepresentation
bin11101000101000011100…
…11000010110111000000
310112111222021012202021100
432202201303002313000
5112332223103104004
62043000214054400
7132120535511250
oct16424163026700
93474867182240
10999146925504
11355810434452
1214178434a400
13732b0622030
1436505023960
151aecb908739
hexe8a1cc2dc0

999146925504 has 672 divisors, whose sum is σ = 3653506088960. Its totient is φ = 253957939200.

The previous prime is 999146925467. The next prime is 999146925521. The reversal of 999146925504 is 405529641999.

999146925504 is a `hidden beast` number, since 9 + 9 + 9 + 14 + 69 + 2 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 440345682 + ... + 440347950.

Almost surely, 2999146925504 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 999146925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826753044480).

999146925504 is an abundant number, since it is smaller than the sum of its proper divisors (2654359163456).

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

999146925504 is a wasteful number, since it uses less digits than its factorization.

999146925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 999146925504 in words is "nine hundred ninety-nine billion, one hundred forty-six million, nine hundred twenty-five thousand, five hundred four".