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9975216258 = 23472192592
BaseRepresentation
bin10010100101001000…
…11011100010000010
3221202012010111020000
421102210123202002
5130412123410013
64325455300430
7502123640100
oct112244334202
927665114200
109975216258
114259827687
121b2481a716
13c2c820837
146a8b50c70
153d5b14973
hex25291b882

9975216258 has 270 divisors, whose sum is σ = 27914662611. Its totient is φ = 2654294832.

The previous prime is 9975216253. The next prime is 9975216263. The reversal of 9975216258 is 8526125799.

9975216258 is a `hidden beast` number, since 9 + 9 + 7 + 5 + 2 + 1 + 625 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9975216253) and next prime (9975216263).

It can be written as a sum of positive squares in only one way, i.e., 4987608129 + 4987608129 = 70623^2 + 70623^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70623.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2721600) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (9975216253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 169071433 + ... + 169071491.

Almost surely, 29975216258 is an apocalyptic number.

9975216258 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975216258

9975216258 is an abundant number, since it is smaller than the sum of its proper divisors (17939446353).

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

9975216258 is a wasteful number, since it uses less digits than its factorization.

9975216258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 90 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 9975216258 is about 99876.0044154751. The cubic root of 9975216258 is about 2152.6533858572.

The spelling of 9975216258 in words is "nine billion, nine hundred seventy-five million, two hundred sixteen thousand, two hundred fifty-eight".