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10190808576 = 2932131710007
BaseRepresentation
bin10010111110110101…
…10110011000000000
3222022012210201021200
421133122312120000
5131332321333301
64403120221200
7510352305114
oct113732663000
928265721250
1010190808576
11435a49a353
121b84a6a800
13c653a6c60
146c9631744
153e99edc86
hex25f6b6600

10190808576 has 240 divisors, whose sum is σ = 33540290784. Its totient is φ = 2950889472.

The previous prime is 10190808499. The next prime is 10190808577. The reversal of 10190808576 is 67580809101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190808577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013365 + ... + 1023371.

Almost surely, 210190808576 is an apocalyptic number.

10190808576 is a gapful number since it is divisible by the number (16) 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 10190808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770145392).

10190808576 is an abundant number, since it is smaller than the sum of its proper divisors (23349482208).

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

10190808576 is a wasteful number, since it uses less digits than its factorization.

10190808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10190808576 in words is "ten billion, one hundred ninety million, eight hundred eight thousand, five hundred seventy-six".