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15420095964 = 2232741313723
BaseRepresentation
bin11100101110001101…
…11111110111011100
31110210122122001000100
432113012333313130
5223040021032324
611030042101100
71054060440000
oct162706776734
943718561010
1015420095964
1165a3273369
122ba41aa790
1315b98a5650
14a63d3a700
15603b474c9
hex3971bfddc

15420095964 has 180 divisors, whose sum is σ = 48973737176. Its totient is φ = 4066542144.

The previous prime is 15420095953. The next prime is 15420095983. The reversal of 15420095964 is 46959002451.

15420095964 is a `hidden beast` number, since 1 + 54 + 2 + 0 + 0 + 9 + 596 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1116807 + ... + 1130529.

Almost surely, 215420095964 is an apocalyptic number.

15420095964 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 15420095964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24486868588).

15420095964 is an abundant number, since it is smaller than the sum of its proper divisors (33553641212).

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

15420095964 is a wasteful number, since it uses less digits than its factorization.

15420095964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13774 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 15420095964 in words is "fifteen billion, four hundred twenty million, ninety-five thousand, nine hundred sixty-four".