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10192960368 = 2432172924951
BaseRepresentation
bin10010111111000110…
…00011101101110000
3222022100212000222200
421133203003231300
5131333344212433
64403234303200
7510406506423
oct113743035560
928270760880
1010192960368
114360729a98
121b85727b00
13c6597b4c6
146c9a319ba
153e9cc6613
hex25f8c3b70

10192960368 has 180 divisors, whose sum is σ = 31287894768. Its totient is φ = 3086899200.

The previous prime is 10192960367. The next prime is 10192960373. The reversal of 10192960368 is 86306929101.

It is a happy number.

10192960368 is a `hidden beast` number, since 1 + 0 + 19 + 29 + 603 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10192960361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2056293 + ... + 2061243.

Almost surely, 210192960368 is an apocalyptic number.

10192960368 is a gapful number since it is divisible by the number (18) 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 10192960368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643947384).

10192960368 is an abundant number, since it is smaller than the sum of its proper divisors (21094934400).

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

10192960368 is a wasteful number, since it uses less digits than its factorization.

10192960368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10192960368 in words is "ten billion, one hundred ninety-two million, nine hundred sixty thousand, three hundred sixty-eight".