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53541076872 = 233311011076659
BaseRepresentation
bin110001110111010010…
…111111111110001000
312010012100222111220010
4301313102333332020
51334123003424442
640332455031520
73603540434013
oct616722777610
9163170874803
1053541076872
11207855a6568
12a46296b5a0
13508358c09a
14283cb4237a
1515d56b7b9c
hexc774bff88

53541076872 has 128 divisors (see below), whose sum is σ = 140863795200. Its totient is φ = 16937952000.

The previous prime is 53541076871. The next prime is 53541076877. The reversal of 53541076872 is 27867014535.

It is a super-2 number, since 2×535410768722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53541076871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8037079 + ... + 8043737.

It is an arithmetic number, because the mean of its divisors is an integer number (1100498400).

Almost surely, 253541076872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53541076872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70431897600).

53541076872 is an abundant number, since it is smaller than the sum of its proper divisors (87322718328).

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

53541076872 is a wasteful number, since it uses less digits than its factorization.

53541076872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 53541076872 in words is "fifty-three billion, five hundred forty-one million, seventy-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 107 124 186 202 214 248 303 321 372 404 428 606 642 744 808 856 1212 1284 2424 2568 3131 3317 6262 6634 6659 9393 9951 10807 12524 13268 13318 18786 19902 19977 21614 25048 26536 26636 32421 37572 39804 39954 43228 53272 64842 75144 79608 79908 86456 129684 159816 206429 259368 335017 412858 619287 670034 672559 712513 825716 1005051 1238574 1340068 1345118 1425026 1651432 2010102 2017677 2137539 2477148 2680136 2690236 2850052 4020204 4035354 4275078 4954296 5380472 5700104 8040408 8070708 8550156 16141416 17100312 20849329 22087903 41698658 44175806 62547987 66263709 71963813 83397316 88351612 125095974 132527418 143927626 166794632 176703224 215891439 250191948 265054836 287855252 431782878 500383896 530109672 575710504 863565756 1727131512 2230878203 4461756406 6692634609 8923512812 13385269218 17847025624 26770538436 53541076872