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95250523368 = 233721131331151
BaseRepresentation
bin101100010110101011…
…1111010010011101000
3100002212011122221010210
41120231113322103220
53030033113221433
6111431341141120
76611253042600
oct1305527722350
9302764587123
1095250523368
113743948a000
121656325a7a0
138c9c847840
144878373c00
1527272bc463
hex162d5fa4e8

95250523368 has 768 divisors, whose sum is σ = 340948500480. Its totient is φ = 21954240000.

The previous prime is 95250523343. The next prime is 95250523387. The reversal of 95250523368 is 86332505259.

95250523368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 630798093 + ... + 630798243.

It is an arithmetic number, because the mean of its divisors is an integer number (443943360).

Almost surely, 295250523368 is an apocalyptic number.

95250523368 is a gapful number since it is divisible by the number (98) 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 95250523368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170474250240).

95250523368 is an abundant number, since it is smaller than the sum of its proper divisors (245697977112).

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

95250523368 is a wasteful number, since it uses less digits than its factorization.

95250523368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 95250523368 in words is "ninety-five billion, two hundred fifty million, five hundred twenty-three thousand, three hundred sixty-eight".