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95226226560 = 27335233159131
BaseRepresentation
bin101100010101111101…
…1001110011110000000
3100002210110221112012000
41120223323032132000
53030010403222220
6111425112304000
76610536366453
oct1305373163600
9302713845160
1095226226560
11374267a44a3
12165570a2000
138c977bb72a
14487504b49a
1527250bd390
hex162bece780

95226226560 has 1024 divisors, whose sum is σ = 372252672000. Its totient is φ = 22931251200.

The previous prime is 95226226499. The next prime is 95226226603. The reversal of 95226226560 is 6562262259.

95226226560 is a `hidden beast` number, since 9 + 5 + 2 + 2 + 62 + 26 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 726917695 + ... + 726917825.

It is an arithmetic number, because the mean of its divisors is an integer number (363528000).

Almost surely, 295226226560 is an apocalyptic number.

95226226560 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 95226226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126336000).

95226226560 is an abundant number, since it is smaller than the sum of its proper divisors (277026445440).

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

95226226560 is a wasteful number, since it uses less digits than its factorization.

95226226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 95226226560 in words is "ninety-five billion, two hundred twenty-six million, two hundred twenty-six thousand, five hundred sixty".