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20125461053775 = 35272111373633919
BaseRepresentation
bin1001001001101110100101…
…11101010000000101001111
32122020222022222120101121010
410210313102331100011033
510114213421012210100
6110445301551540303
74145005454256600
oct444672275200517
978228288511533
1020125461053775
11645a184105740
12231054822a693
13b2ca909c6a6c
144d811299dda7
1524d7994b6750
hex124dd2f5014f

20125461053775 has 144 divisors (see below), whose sum is σ = 42533609103360. Its totient is φ = 8302775846400.

The previous prime is 20125461053767. The next prime is 20125461053807. The reversal of 20125461053775 is 57735016452102.

It is not a de Polignac number, because 20125461053775 - 23 = 20125461053767 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3721266 + ... + 7355184.

It is an arithmetic number, because the mean of its divisors is an integer number (295372285440).

Almost surely, 220125461053775 is an apocalyptic number.

20125461053775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20125461053775 is an abundant number, since it is smaller than the sum of its proper divisors (22408148049585).

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

20125461053775 is a wasteful number, since it uses less digits than its factorization.

20125461053775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634094 (or 3634082 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 20125461053775 in words is "twenty trillion, one hundred twenty-five billion, four hundred sixty-one million, fifty-three thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 137 147 165 175 231 245 275 385 411 525 539 685 735 825 959 1155 1225 1507 1617 1925 2055 2695 2877 3425 3675 4521 4795 5775 6713 7535 8085 10275 10549 13475 14385 20139 22605 23975 31647 33565 37675 40425 52745 71925 73843 100695 113025 158235 167825 221529 263725 369215 503475 791175 1107645 1846075 3633919 5538225 10901757 18169595 25437433 39973109 54508785 76312299 90847975 119919327 127187165 178062031 199865545 272543925 279811763 381561495 497846903 534186093 599596635 635935825 839435289 890310155 999327725 1399058815 1493540709 1907807475 1958682341 2489234515 2670930465 2997983175 3484928321 4197176445 4451550775 5476315933 5876047023 6995294075 7467703545 9793411705 10454784963 12446172575 13354652325 16428947799 17424641605 20985882225 24394498247 27381579665 29380235115 37338517725 38334211531 48967058525 52273924815 73183494741 82144738995 87123208025 115002634593 121972491235 136907898325 146901175575 191671057655 261369624075 268339480717 365917473705 410723694975 575013172965 609862456175 805018442151 958355288275 1341697403585 1829587368525 2875065864825 4025092210755 6708487017925 20125461053775