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10505544144 = 2431941280957
BaseRepresentation
bin10011100100010110…
…11110000111010000
31000010011000221022120
421302023132013100
5133003404403034
64454242134240
7521223436404
oct116213360720
930104027276
1010505544144
114501118897
122052351380
13cb5663c14
1471935d104
1541746dc49
hex2722de1d0

10505544144 has 80 divisors (see below), whose sum is σ = 29264585280. Its totient is φ = 3236613120.

The previous prime is 10505544107. The next prime is 10505544157. The reversal of 10505544144 is 44144550501.

It is a super-2 number, since 2×105055441442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103087 + ... + 177870.

It is an arithmetic number, because the mean of its divisors is an integer number (365807316).

Almost surely, 210505544144 is an apocalyptic number.

It is an amenable number.

10505544144 is an abundant number, since it is smaller than the sum of its proper divisors (18759041136).

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

10505544144 is a wasteful number, since it uses less digits than its factorization.

10505544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281028 (or 281022 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 10505544144 in words is "ten billion, five hundred five million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2337 3116 4674 6232 9348 12464 18696 37392 280957 561914 842871 1123828 1685742 2247656 3371484 4495312 5338183 6742968 10676366 11519237 13485936 16014549 21352732 23038474 32029098 34557711 42705464 46076948 64058196 69115422 85410928 92153896 128116392 138230844 184307792 218865503 256232784 276461688 437731006 552923376 656596509 875462012 1313193018 1750924024 2626386036 3501848048 5252772072 10505544144