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20025551304 = 23321128772621
BaseRepresentation
bin10010101001100111…
…011010100111001000
31220200121121102001100
4102221213122213020
5312003020120204
613111041021400
71306152243333
oct225147324710
956617542040
1020025551304
1185469a1100
123a6a624860
131b71a82a55
14d7d85761a
157c3116a39
hex4a99da9c8

20025551304 has 144 divisors (see below), whose sum is σ = 59705378460. Its totient is φ = 6059116800.

The previous prime is 20025551297. The next prime is 20025551311. The reversal of 20025551304 is 40315552002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20025551297) and next prime (20025551311).

It can be written as a sum of positive squares in 2 ways, for example, as 17476311204 + 2549240100 = 132198^2 + 50490^2 .

It is a super-2 number, since 2×200255513042 (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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7639114 + ... + 7641734.

Almost surely, 220025551304 is an apocalyptic number.

20025551304 is a gapful number since it is divisible by the number (24) 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 20025551304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29852689230).

20025551304 is an abundant number, since it is smaller than the sum of its proper divisors (39679827156).

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

20025551304 is a wasteful number, since it uses less digits than its factorization.

20025551304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 20025551304 in words is "twenty billion, twenty-five million, five hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 877 968 1089 1452 1754 2178 2621 2631 2904 3508 4356 5242 5262 7016 7863 7893 8712 9647 10484 10524 15726 15786 19294 20968 21048 23589 28831 28941 31452 31572 38588 47178 57662 57882 62904 63144 77176 86493 86823 94356 106117 115324 115764 172986 173646 188712 212234 230648 231528 259479 317141 318351 345972 347292 424468 518958 634282 636702 691944 694584 848936 951423 955053 1037916 1268564 1273404 1902846 1910106 2075832 2298617 2537128 2546808 2854269 3805692 3820212 4597234 5708538 6895851 7611384 7640424 9194468 11417076 13791702 18388936 20687553 22834152 25284787 27583404 41375106 50569574 55166808 75854361 82750212 101139148 151708722 165500424 202278296 227563083 278132657 303417444 455126166 556265314 606834888 834397971 910252332 1112530628 1668795942 1820504664 2225061256 2503193913 3337591884 5006387826 6675183768 10012775652 20025551304