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10453230588672 = 2832235359199317
BaseRepresentation
bin1001100000011101010100…
…0110001001001100000000
31101000022121121112200222100
42120013111012021030000
52332231204012314142
634122051533310400
72126135540651034
oct230072506111400
941008547480870
1010453230588672
113370210174563
121209aa5935400
135aa973924cc1
14281d20ad01c4
15131da4b22b4c
hex981d5189300

10453230588672 has 864 divisors, whose sum is σ = 32853195648000. Its totient is φ = 3188361166848.

The previous prime is 10453230588653. The next prime is 10453230588727. The reversal of 10453230588672 is 27688503235401.

10453230588672 is a `hidden beast` number, since 1 + 0 + 4 + 53 + 2 + 3 + 0 + 588 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32975490658 + ... + 32975490974.

It is an arithmetic number, because the mean of its divisors is an integer number (38024532000).

Almost surely, 210453230588672 is an apocalyptic number.

10453230588672 is a gapful number since it is divisible by the number (12) 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 10453230588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426597824000).

10453230588672 is an abundant number, since it is smaller than the sum of its proper divisors (22399965059328).

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

10453230588672 is a wasteful number, since it uses less digits than its factorization.

10453230588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 10453230588672 in words is "ten trillion, four hundred fifty-three billion, two hundred thirty million, five hundred eighty-eight thousand, six hundred seventy-two".