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13457052013710 = 23573103316093697
BaseRepresentation
bin1100001111010011011011…
…0011100001010010001110
31202122111000002111111002010
43003310312303201102032
53230440020303414320
644342030115242050
72556145202540034
oct303646663412216
952574002444063
1013457052013710
114319116045448
1216140975a9326
13767cc1081246
14347479334554
151850aeab5ae0
hexc3d36ce148e

13457052013710 has 128 divisors (see below), whose sum is σ = 32800278994560. Its totient is φ = 3532809240576.

The previous prime is 13457052013697. The next prime is 13457052013711. The reversal of 13457052013710 is 1731025075431.

13457052013710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457052013711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3639990582 + ... + 3639994278.

It is an arithmetic number, because the mean of its divisors is an integer number (256252179645).

Almost surely, 213457052013710 is an apocalyptic number.

13457052013710 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 13457052013710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400139497280).

13457052013710 is an abundant number, since it is smaller than the sum of its proper divisors (19343226980850).

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

13457052013710 is a wasteful number, since it uses less digits than its factorization.

13457052013710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422.

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 13457052013710 in words is "thirteen trillion, four hundred fifty-seven billion, fifty-two million, thirteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1033 1095 1609 2066 2190 3099 3218 3697 4827 5165 6198 7394 8045 9654 10330 11091 15495 16090 18485 22182 24135 30990 36970 48270 55455 75409 110910 117457 150818 226227 234914 269881 352371 377045 452454 539762 587285 704742 754090 809643 1131135 1174570 1349405 1619286 1662097 1761855 2262270 2698810 3324194 3523710 3819001 4048215 4986291 5948473 7638002 8096430 8310485 9972582 11457003 11896946 16620970 17845419 19095005 22914006 24931455 29742365 35690838 38190010 49862910 57285015 59484730 89227095 114570030 121333081 178454190 242666162 278787073 363999243 434238529 557574146 606665405 727998486 836361219 868477058 1213330810 1302715587 1393935365 1672722438 1819996215 2171192645 2605431174 2787870730 3639992430 4181806095 4342385290 6144772609 6513577935 8363612190 12289545218 13027155870 18434317827 30723863045 36868635654 61447726090 92171589135 184343178270 448568400457 897136800914 1345705201371 2242842002285 2691410402742 4485684004570 6728526006855 13457052013710