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5675885136 = 243511312919
BaseRepresentation
bin1010100100100111…
…10010001001010000
3112122120011211200000
411102103302021100
543111011311021
62335113530000
7260440141035
oct52223621120
915576154600
105675885136
112452986569
121124a13900
136c5ba691c
143bbb5d38c
15233463b26
hex1524f2250

5675885136 has 120 divisors (see below), whose sum is σ = 16619977920. Its totient is φ = 1875073536.

The previous prime is 5675885129. The next prime is 5675885167. The reversal of 5675885136 is 6315885765.

5675885136 is a `hidden beast` number, since 5 + 6 + 7 + 588 + 51 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432885 + ... + 445803.

It is an arithmetic number, because the mean of its divisors is an integer number (138499816).

Almost surely, 25675885136 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 5675885136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309988960).

5675885136 is an abundant number, since it is smaller than the sum of its proper divisors (10944092784).

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

5675885136 is a wasteful number, since it uses less digits than its factorization.

5675885136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13037 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 5675885136 is about 75338.4704915092. The cubic root of 5675885136 is about 1783.7933176341.

The spelling of 5675885136 in words is "five billion, six hundred seventy-five million, eight hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 243 324 339 432 452 486 648 678 904 972 1017 1296 1356 1808 1944 2034 2712 3051 3888 4068 5424 6102 8136 9153 12204 12919 16272 18306 24408 25838 27459 36612 38757 48816 51676 54918 73224 77514 103352 109836 116271 146448 155028 206704 219672 232542 310056 348813 439344 465084 620112 697626 930168 1046439 1395252 1459847 1860336 2092878 2790504 2919694 3139317 4185756 4379541 5581008 5839388 6278634 8371512 8759082 11678776 12557268 13138623 16743024 17518164 23357552 25114536 26277246 35036328 39415869 50229072 52554492 70072656 78831738 105108984 118247607 157663476 210217968 236495214 315326952 354742821 472990428 630653904 709485642 945980856 1418971284 1891961712 2837942568 5675885136