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20589343230816 = 253337644061037
BaseRepresentation
bin1001010111001110101000…
…11111010100101101100000
32200220022200201201121002000
410223213110133110231200
510144313433331341231
6111442340320524000
74223350055565663
oct453472437245540
980808621647060
1020589343230816
116618989544178
122386429480600
13b6474a16c959
1451275b0596da
1525a8993626e6
hex12b9d47d4b60

20589343230816 has 96 divisors (see below), whose sum is σ = 61675284998880. Its totient is φ = 6677624821248.

The previous prime is 20589343230803. The next prime is 20589343230817. The reversal of 20589343230816 is 61803234398502.

20589343230816 is a `hidden beast` number, since 2 + 0 + 58 + 9 + 343 + 230 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (20589343230817) 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 15 ways as a sum of consecutive naturals, for example, 321998551 + ... + 322062486.

It is an arithmetic number, because the mean of its divisors is an integer number (642450885405).

Almost surely, 220589343230816 is an apocalyptic number.

It is an amenable number.

20589343230816 is an abundant number, since it is smaller than the sum of its proper divisors (41085941768064).

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

20589343230816 is a wasteful number, since it uses less digits than its factorization.

20589343230816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644061093 (or 644061079 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 20589343230816 in words is "twenty trillion, five hundred eighty-nine billion, three hundred forty-three million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 644061037 1288122074 1932183111 2576244148 3864366222 5152488296 5796549333 7728732444 10304976592 11593098666 15457464888 17389647999 20609953184 23186197332 23830258369 30914929776 34779295998 46372394664 47660516738 61829859552 69558591996 71490775107 92744789328 95321033476 139117183992 142981550214 185489578656 190642066952 214472325321 278234367984 285963100428 381284133904 428944650642 556468735968 571926200856 643416975963 762568267808 857889301284 1143852401712 1286833951926 1715778602568 2287704803424 2573667903852 3431557205136 5147335807704 6863114410272 10294671615408 20589343230816