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13054905810 = 2335598091013
BaseRepresentation
bin11000010100010001…
…00000110111010010
31020200211002221002000
430022020200313102
5203214023441220
65555231534430
7641340603612
oct141210406722
936624087060
1013054905810
11559a176a61
12264408a416
13130088704b
148bbb7ca42
1551619a390
hex30a220dd2

13054905810 has 128 divisors (see below), whose sum is σ = 35481888000. Its totient is φ = 3414698496.

The previous prime is 13054905803. The next prime is 13054905839. The reversal of 13054905810 is 1850945031.

13054905810 is a `hidden beast` number, since 1 + 30 + 5 + 49 + 0 + 581 + 0 = 666.

It is a super-2 number, since 2×130549058102 (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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12886864 + ... + 12887876.

It is an arithmetic number, because the mean of its divisors is an integer number (277202250).

Almost surely, 213054905810 is an apocalyptic number.

13054905810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054905810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740944000).

13054905810 is an abundant number, since it is smaller than the sum of its proper divisors (22426982190).

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

13054905810 is a wasteful number, since it uses less digits than its factorization.

13054905810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13054905810 in words is "thirteen billion, fifty-four million, nine hundred five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 809 885 1013 1062 1593 1618 1770 2026 2427 2655 3039 3186 4045 4854 5065 5310 6078 7281 7965 8090 9117 10130 12135 14562 15195 15930 18234 21843 24270 27351 30390 36405 43686 45585 47731 54702 59767 72810 91170 95462 109215 119534 136755 143193 179301 218430 238655 273510 286386 298835 358602 429579 477310 537903 597670 715965 819517 859158 896505 1075806 1288737 1431930 1613709 1639034 1793010 2147895 2458551 2577474 2689515 3227418 4097585 4295790 4917102 5379030 6443685 7375653 8068545 8195170 12292755 12887370 14751306 16137090 22126959 24585510 36878265 44253918 48351503 73756530 96703006 110634795 145054509 221269590 241757515 290109018 435163527 483515030 725272545 870327054 1305490581 1450545090 2175817635 2610981162 4351635270 6527452905 13054905810