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1057533721704 = 233267589217313
BaseRepresentation
bin11110110001110011110…
…10111111110001101000
310202002200100021022102200
433120321322333301220
5114311312113043304
62125454013500200
7136255446214005
oct17307172776150
93662610238380
101057533721704
11378552241629
12150b59aa1660
1378956aa2555
14392835468ac
151c7976eee39
hexf639ebfc68

1057533721704 has 48 divisors (see below), whose sum is σ = 2864209385700. Its totient is φ = 352504402944.

The previous prime is 1057533721679. The next prime is 1057533721747. The reversal of 1057533721704 is 4071273357501.

1057533721704 is a `hidden beast` number, since 1 + 0 + 575 + 3 + 3 + 7 + 2 + 1 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1010423019204 + 47110702500 = 1005198^2 + 217050^2 .

It is a super-2 number, since 2×10575337217042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057533721704.

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, 4757752 + ... + 4975064.

Almost surely, 21057533721704 is an apocalyptic number.

It is an amenable number.

1057533721704 is an abundant number, since it is smaller than the sum of its proper divisors (1806675663996).

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

1057533721704 is a wasteful number, since it uses less digits than its factorization.

1057533721704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284914 (or 284907 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 1057533721704 in words is "one trillion, fifty-seven billion, five hundred thirty-three million, seven hundred twenty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 67589 135178 202767 217313 270356 405534 434626 540712 608301 651939 811068 869252 1216602 1303878 1622136 1738504 1955817 2433204 2607756 3911634 4866408 5215512 7823268 15646536 14687968357 29375936714 44063905071 58751873428 88127810142 117503746856 132191715213 176255620284 264383430426 352511240568 528766860852 1057533721704