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10456571072 = 261783115793
BaseRepresentation
bin10011011110100001…
…01001110011000000
3222222201212211220002
421233100221303000
5132403340233242
64445332335132
7520060246643
oct115720516300
928881784802
1010456571072
114486509682
122039a744a8
13ca847807c
14712a51a5a
15412ee8432
hex26f429cc0

10456571072 has 56 divisors (see below), whose sum is σ = 22235227056. Its totient is φ = 4861411328.

The previous prime is 10456571039. The next prime is 10456571141. The reversal of 10456571072 is 27017565401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32408 + ... + 148200.

It is an arithmetic number, because the mean of its divisors is an integer number (397057626).

Almost surely, 210456571072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117613528).

10456571072 is an abundant number, since it is smaller than the sum of its proper divisors (11778655984).

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

10456571072 is a wasteful number, since it uses less digits than its factorization.

10456571072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115905 (or 115895 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 10456571072 in words is "ten billion, four hundred fifty-six million, five hundred seventy-one thousand, seventy-two".