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20318004397638 = 23331121328373527
BaseRepresentation
bin1001001111010101001110…
…11011110100011001000110
32122221101022122211200212000
410213222213123310121012
510130342233111211023
6111113543512010130
74164633042553413
oct447524733643106
978841278750760
1020318004397638
1165238a987a802
122341922690946
13b44c9722276c
1450357a61310a
152537b7ebb243
hex127aa76f4646

20318004397638 has 128 divisors (see below), whose sum is σ = 46675704176640. Its totient is φ = 6544627217280.

The previous prime is 20318004397637. The next prime is 20318004397763. The reversal of 20318004397638 is 83679340081302.

20318004397638 is a `hidden beast` number, since 2 + 0 + 31 + 80 + 0 + 439 + 76 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20318004397637) 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, 5760702631 + ... + 5760706157.

It is an arithmetic number, because the mean of its divisors is an integer number (364653938880).

Almost surely, 220318004397638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20318004397638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337852088320).

20318004397638 is an abundant number, since it is smaller than the sum of its proper divisors (26357699779002).

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

20318004397638 is a wasteful number, since it uses less digits than its factorization.

20318004397638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20318004397638 in words is "twenty trillion, three hundred eighteen billion, four million, three hundred ninety-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1213 1674 2426 2837 3527 3639 5674 7054 7278 8511 10581 10917 17022 21162 21834 25533 31743 32751 37603 51066 63486 65502 75206 76599 87947 95229 109337 112809 153198 175894 190458 218674 225618 263841 328011 338427 527682 656022 676854 791523 984033 1015281 1583046 1968066 2030562 2374569 2952099 3441281 4278251 4749138 5904198 6882562 8556502 10006099 10323843 12834753 20012198 20647686 25669506 30018297 30971529 38504259 60036594 61943058 77008518 90054891 92914587 106679711 115512777 132625781 180109782 185829174 213359422 231025554 265251562 270164673 310189069 320039133 397877343 540329346 620378138 640078266 795754686 930567207 960117399 1193632029 1861134414 1920234798 2387264058 2791701621 2880352197 3580896087 5583403242 5760704394 7161792174 8375104863 12137398087 16750209726 24274796174 36412194261 72824388522 109236582783 218473165566 327709748349 376259340697 655419496698 752518681394 1128778022091 2257556044182 3386334066273 6772668132546 10159002198819 20318004397638