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95666376960 = 2832573113171
BaseRepresentation
bin101100100011000101…
…0010001000100000000
3100010221011011111000200
41121012022101010000
53031411043030320
6111540514245200
76624462534000
oct1310612210400
9303834144020
1095666376960
11376321a2a60
121665a586800
139037a4a15b
1448b76a4000
15274da63290
hex1646291100

95666376960 has 1728 divisors, whose sum is σ = 440797593600. Its totient is φ = 18966528000.

The previous prime is 95666376937. The next prime is 95666377007. The reversal of 95666376960 is 6967366659.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1347413725 + ... + 1347413795.

It is an arithmetic number, because the mean of its divisors is an integer number (255091200).

Almost surely, 295666376960 is an apocalyptic number.

95666376960 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 95666376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220398796800).

95666376960 is an abundant number, since it is smaller than the sum of its proper divisors (345131216640).

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

95666376960 is a wasteful number, since it uses less digits than its factorization.

95666376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 95666376960 in words is "ninety-five billion, six hundred sixty-six million, three hundred seventy-six thousand, nine hundred sixty".