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10244564880 = 2435113880517
BaseRepresentation
bin10011000101001111…
…11010011110010000
3222102221221211001220
421202213322132100
5131440102034010
64412320325040
7511604236044
oct114247723620
928387854056
1010244564880
114387876250
121b9aa73780
13c73579014
146d2826024
153ee5bb970
hex2629fa790

10244564880 has 80 divisors (see below), whose sum is σ = 34645264704. Its totient is φ = 2483530240.

The previous prime is 10244564867. The next prime is 10244564899. The reversal of 10244564880 is 8846544201.

10244564880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102445648802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937619 + ... + 1942898.

Almost surely, 210244564880 is an apocalyptic number.

10244564880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244564880 is an abundant number, since it is smaller than the sum of its proper divisors (24400699824).

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

10244564880 is a wasteful number, since it uses less digits than its factorization.

10244564880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880544 (or 3880538 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 10244564880 in words is "ten billion, two hundred forty-four million, five hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3880517 7761034 11641551 15522068 19402585 23283102 31044136 38805170 42685687 46566204 58207755 62088272 77610340 85371374 93132408 116415510 128057061 155220680 170742748 186264816 213428435 232831020 256114122 310441360 341485496 426856870 465662040 512228244 640285305 682970992 853713740 931324080 1024456488 1280570610 1707427480 2048912976 2561141220 3414854960 5122282440 10244564880