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95234879520 = 253351121943223
BaseRepresentation
bin101100010110001110…
…0001111000000100000
3100002211002020010211000
41120230130033000200
53030020112121040
6111430021552000
76611003055654
oct1305434170040
9302732203730
1095234879520
1137430674600
1216559b75600
138c9952b121
144876260a64
152725c2c130
hex162c70f020

95234879520 has 1152 divisors, whose sum is σ = 396400435200. Its totient is φ = 21267671040.

The previous prime is 95234879483. The next prime is 95234879533. The reversal of 95234879520 is 2597843259.

95234879520 is a `hidden beast` number, since 9 + 5 + 2 + 3 + 48 + 79 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 427062129 + ... + 427062351.

It is an arithmetic number, because the mean of its divisors is an integer number (344097600).

Almost surely, 295234879520 is an apocalyptic number.

95234879520 is a gapful number since it is divisible by the number (90) 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 95234879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198200217600).

95234879520 is an abundant number, since it is smaller than the sum of its proper divisors (301165555680).

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

95234879520 is a wasteful number, since it uses less digits than its factorization.

95234879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 95234879520 in words is "ninety-five billion, two hundred thirty-four million, eight hundred seventy-nine thousand, five hundred twenty".