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10196296560 = 2432541477349
BaseRepresentation
bin10010111111011111…
…10010001101110000
3222022121010112101100
421133233302031300
5131340222442220
64403434004400
7510450043062
oct113757621560
928277115340
1010196296560
1143625a857a
121b86876700
13c66578b98
146ca25d732
153ea234d90
hex25fbf2370

10196296560 has 240 divisors, whose sum is σ = 35828956800. Its totient is φ = 2595901440.

The previous prime is 10196296501. The next prime is 10196296637. The reversal of 10196296560 is 6569269101.

It is a happy number.

10196296560 is a `hidden beast` number, since 1 + 0 + 19 + 629 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383766 + ... + 1391114.

It is an arithmetic number, because the mean of its divisors is an integer number (149287320).

Almost surely, 210196296560 is an apocalyptic number.

10196296560 is a gapful number since it is divisible by the number (10) 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 10196296560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914478400).

10196296560 is an abundant number, since it is smaller than the sum of its proper divisors (25632660240).

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

10196296560 is a wasteful number, since it uses less digits than its factorization.

10196296560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10196296560 in words is "ten billion, one hundred ninety-six million, two hundred ninety-six thousand, five hundred sixty".