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20420644240020 = 22351753377740367
BaseRepresentation
bin1001010010010100011010…
…01111101111101010010100
32200022012020210210221001210
410221022031033233222110
510134032434411140040
6111233040420021420
74205225413043403
oct451121517575224
980265223727053
1020420644240020
11656338a343522
1223597a8531870
13b51873914ccb
145085160c763a
152562c3d56480
hex12928d3efa94

20420644240020 has 96 divisors (see below), whose sum is σ = 61683491132928. Its totient is φ = 5028479752192.

The previous prime is 20420644240001. The next prime is 20420644240021. The reversal of 20420644240020 is 2004244602402.

It is a super-2 number, since 2×204206442400202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 20420644240020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20420644240021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188816124 + ... + 188924243.

It is an arithmetic number, because the mean of its divisors is an integer number (642536365968).

Almost surely, 220420644240020 is an apocalyptic number.

20420644240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420644240020 is an abundant number, since it is smaller than the sum of its proper divisors (41262846892908).

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

20420644240020 is a wasteful number, since it uses less digits than its factorization.

20420644240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377740449 (or 377740447 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20420644240020 its reverse (2004244602402), we get a palindrome (22424888842422).

The spelling of 20420644240020 in words is "twenty trillion, four hundred twenty billion, six hundred forty-four million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 795 901 1020 1060 1590 1802 2703 3180 3604 4505 5406 9010 10812 13515 18020 27030 54060 377740367 755480734 1133221101 1510961468 1888701835 2266442202 3777403670 4532884404 5666105505 6421586239 7554807340 11332211010 12843172478 19264758717 20020239451 22664422020 25686344956 32107931195 38529517434 40040478902 60060718353 64215862390 77059034868 80080957804 96323793585 100101197255 120121436706 128431724780 192647587170 200202394510 240242873412 300303591765 340344070667 385295174340 400404789020 600607183530 680688141334 1021032212001 1201214367060 1361376282668 1701720353335 2042064424002 3403440706670 4084128848004 5105161060005 6806881413340 10210322120010 20420644240020