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20021047413264 = 2432185937477817
BaseRepresentation
bin1001000110101100000110…
…11010110100101000010000
32121212222211012212212210100
410203112003122310220100
510111011101114211024
6110325313041132400
74134321135051522
oct443260332645020
977788735785710
1020021047413264
116419973354157
1222b426832a100
13b22c90989721
144d30496b3a12
1524abd7a4b7c9
hex1235836b4a10

20021047413264 has 60 divisors (see below), whose sum is σ = 56034146800476. Its totient is φ = 6673322643456.

The previous prime is 20021047413251. The next prime is 20021047413287. The reversal of 20021047413264 is 46231474012002.

20021047413264 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 4 + 7 + 413 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10409063310864 + 9611984102400 = 3226308^2 + 3100320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061517 + ... + 6416300.

Almost surely, 220021047413264 is an apocalyptic number.

20021047413264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20021047413264 is an abundant number, since it is smaller than the sum of its proper divisors (36013099387212).

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

20021047413264 is a wasteful number, since it uses less digits than its factorization.

20021047413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7496424 (or 7496415 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20021047413264 in words is "twenty trillion, twenty-one billion, forty-seven million, four hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18593 37186 55779 74372 111558 148744 167337 223116 297488 334674 446232 669348 892464 1338696 2677392 7477817 14955634 22433451 29911268 44866902 59822536 67300353 89733804 119645072 134600706 179467608 269201412 358935216 538402824 1076805648 139035051481 278070102962 417105154443 556140205924 834210308886 1112280411848 1251315463329 1668420617772 2224560823696 2502630926658 3336841235544 5005261853316 6673682471088 10010523706632 20021047413264