Search a number
-
+
2831193878552 = 2313233160736287
BaseRepresentation
bin101001001100110000010…
…011100011000000011000
3101000122210202202210210222
4221030300103203000120
5332341241113103202
610004344342255212
7411355423620314
oct51146023430030
911018722683728
102831193878552
119a17801541a6
12398855127508
13176c99035c40
149b05da38b44
154d9a4b254a2
hex293304e3018

2831193878552 has 128 divisors (see below), whose sum is σ = 6159817359360. Its totient is φ = 1209180994560.

The previous prime is 2831193878549. The next prime is 2831193878593. The reversal of 2831193878552 is 2558783911382.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450321953 + ... + 450328239.

It is an arithmetic number, because the mean of its divisors is an integer number (48123573120).

Almost surely, 22831193878552 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 2831193878552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079908679680).

2831193878552 is an abundant number, since it is smaller than the sum of its proper divisors (3328623480808).

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

2831193878552 is a wasteful number, since it uses less digits than its factorization.

2831193878552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433 (or 12429 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 62.

The spelling of 2831193878552 in words is "two trillion, eight hundred thirty-one billion, one hundred ninety-three million, eight hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 598 713 806 1196 1426 1612 2392 2852 3224 5704 6073 6287 9269 12146 12574 18538 24292 25148 37076 48584 50296 74152 78949 81731 139679 144601 157898 163462 188263 194897 279358 289202 315796 326924 376526 389794 558716 578404 631592 653848 753052 779588 1117432 1156808 1506104 1559176 1815827 1879813 2447419 2533661 3631654 3759626 4330049 4482631 4894838 5067322 7263308 7519252 8660098 8965262 9789676 10134644 14526616 15038504 17320196 17930524 19579352 20269288 34640392 35861048 38180951 56290637 58274203 76361902 112581274 116548406 152723804 225162548 233096812 305447608 450325096 466193624 496352363 878161873 992704726 1183609481 1756323746 1985409452 2367218962 3512647492 3970818904 4734437924 7025294984 9468875848 11416104349 15386923253 22832208698 27223018063 30773846506 45664417396 54446036126 61547693012 91328834792 108892072252 123095386024 217784144504 353899234819 707798469638 1415596939276 2831193878552