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10544314872 = 23371317893191
BaseRepresentation
bin10011101000111110…
…10111100111111000
31000012211222200202110
421310133113213320
5133043321033442
64502145132320
7522204124530
oct116437274770
930184880673
1010544314872
114520a99913
12206332a0a0
13cc06ba090
147205724c0
1541aa7b69c
hex2747d79f8

10544314872 has 256 divisors, whose sum is σ = 34749388800. Its totient is φ = 2587115520.

The previous prime is 10544314831. The next prime is 10544314883. The reversal of 10544314872 is 27841344501.

It is a super-2 number, since 2×105443148722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10544314872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3302797 + ... + 3305987.

It is an arithmetic number, because the mean of its divisors is an integer number (135739800).

Almost surely, 210544314872 is an apocalyptic number.

10544314872 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 10544314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

10544314872 is an abundant number, since it is smaller than the sum of its proper divisors (24205073928).

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

10544314872 is a wasteful number, since it uses less digits than its factorization.

10544314872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 10544314872 in words is "ten billion, five hundred forty-four million, three hundred fourteen thousand, eight hundred seventy-two".