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13055375040 = 263573318553
BaseRepresentation
bin11000010100010100…
…10011011011000000
31020200211222202201220
430022022103123000
5203214134000130
65555245555040
7641344566621
oct141212233300
936624882656
1013055375040
11559a467554
122644275a80
1313009bc7b6
148bbc61a48
1551623e410
hex30a2936c0

13055375040 has 112 divisors (see below), whose sum is σ = 41509602528. Its totient is φ = 3476496384.

The previous prime is 13055375017. The next prime is 13055375041. The reversal of 13055375040 is 4057355031.

It is a junction number, because it is equal to n+sod(n) for n = 13055374992 and 13055375010.

It is not an unprimeable number, because it can be changed into a prime (13055375041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 694404 + ... + 712956.

Almost surely, 213055375040 is an apocalyptic number.

13055375040 is a gapful number since it is divisible by the number (10) 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 13055375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754801264).

13055375040 is an abundant number, since it is smaller than the sum of its proper divisors (28454227488).

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

13055375040 is a wasteful number, since it uses less digits than its factorization.

13055375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19306 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The spelling of 13055375040 in words is "thirteen billion, fifty-five million, three hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 733 960 1466 2199 2932 3665 4398 5864 7330 8796 10995 11728 14660 17592 18553 21990 23456 29320 35184 37106 43980 46912 55659 58640 70368 74212 87960 92765 111318 117280 140736 148424 175920 185530 222636 234560 278295 296848 351840 371060 445272 556590 593696 703680 742120 890544 1113180 1187392 1484240 1781088 2226360 2968480 3562176 4452720 5936960 8905440 13599349 17810880 27198698 40798047 54397396 67996745 81596094 108794792 135993490 163192188 203990235 217589584 271986980 326384376 407980470 435179168 543973960 652768752 815960940 870358336 1087947920 1305537504 1631921880 2175895840 2611075008 3263843760 4351791680 6527687520 13055375040