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9795668025 = 35211131953907
BaseRepresentation
bin10010001111101111…
…00000100000111001
3221021200021111100110
421013313200200321
5130030142334100
64300003054533
7464513542623
oct110767404071
927250244313
109795668025
114177443410
121a94671449
13c01577490
1468cd73c13
153c4e9a250
hex247de0839

9795668025 has 192 divisors, whose sum is σ = 20428692480. Its totient is φ = 4070476800.

The previous prime is 9795668023. The next prime is 9795668041. The reversal of 9795668025 is 5208665979.

It is not a de Polignac number, because 9795668025 - 21 = 9795668023 is a prime.

It is a super-2 number, since 2×97956680252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9795668023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10799622 + ... + 10800528.

It is an arithmetic number, because the mean of its divisors is an integer number (106399440).

Almost surely, 29795668025 is an apocalyptic number.

9795668025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9795668025 is an abundant number, since it is smaller than the sum of its proper divisors (10633024455).

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

9795668025 is a wasteful number, since it uses less digits than its factorization.

9795668025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The square root of 9795668025 is about 98973.0671698114. The cubic root of 9795668025 is about 2139.6595977182.

It can be divided in two parts, 97956 and 68025, that multiplied together give a square (6663456900 = 816302).

The spelling of 9795668025 in words is "nine billion, seven hundred ninety-five million, six hundred sixty-eight thousand, twenty-five".