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95240261376 = 2835132931131
BaseRepresentation
bin101100010110011000…
…0110000111100000000
3100002211110100120100000
41120230300300330000
53030023001331001
6111430333200000
76611066602341
oct1305460607400
9302743316300
1095240261376
1137433710017
121655b930000
138c9a693960
144876c620c8
152726441a86
hex162cc30f00

95240261376 has 864 divisors, whose sum is σ = 329985976320. Its totient is φ = 27172454400.

The previous prime is 95240261371. The next prime is 95240261377. The reversal of 95240261376 is 67316204259.

95240261376 is a `hidden beast` number, since 9 + 5 + 24 + 0 + 2 + 613 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95240261371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727024831 + ... + 727024961.

Almost surely, 295240261376 is an apocalyptic number.

95240261376 is a gapful number since it is divisible by the number (96) 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 95240261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164992988160).

95240261376 is an abundant number, since it is smaller than the sum of its proper divisors (234745714944).

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

95240261376 is a wasteful number, since it uses less digits than its factorization.

95240261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 95240261376 in words is "ninety-five billion, two hundred forty million, two hundred sixty-one thousand, three hundred seventy-six".