Search a number
-
+
31000825592 = 231117314011667
BaseRepresentation
bin11100110111110010…
…110000111011111000
32222000111112002222122
4130313302300323320
51001442202404332
622124103140412
72145141445502
oct346762607370
988014462878
1031000825592
1112169181120
126012144708
132c00830ca9
14170132cd72
15c1691ec12
hex737cb0ef8

31000825592 has 128 divisors (see below), whose sum is σ = 69521172480. Its totient is φ = 12794880000.

The previous prime is 31000825589. The next prime is 31000825601. The reversal of 31000825592 is 29552800013.

It is a super-2 number, since 2×310008255922 (a number of 22 digits) contains 22 as substring.

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, 18595943 + ... + 18597609.

It is an arithmetic number, because the mean of its divisors is an integer number (543134160).

Almost surely, 231000825592 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 31000825592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760586240).

31000825592 is an abundant number, since it is smaller than the sum of its proper divisors (38520346888).

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

31000825592 is a wasteful number, since it uses less digits than its factorization.

31000825592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 31000825592 in words is "thirty-one billion, eight hundred twenty-five thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 401 527 682 748 802 1054 1364 1496 1604 1667 2108 2728 3208 3334 4216 4411 5797 6668 6817 8822 11594 12431 13336 13634 17644 18337 23188 24862 27268 28339 35288 36674 46376 49724 51677 54536 56678 73348 74987 99448 103354 113356 136741 146696 149974 206708 211327 226712 273482 299948 311729 413416 422654 546964 568447 599896 623458 668467 845308 878509 1093928 1136894 1246916 1336934 1690616 1757018 2273788 2324597 2493832 2673868 3514036 4547576 4649194 5347736 7028072 7353137 9298388 9663599 11363939 14706274 18596776 19327198 20722477 22727878 29412548 38654396 41444954 45455756 58825096 77308792 82889908 90911512 125003329 165779816 227947247 250006658 352282109 455894494 500013316 704564218 911788988 1000026632 1409128436 1823577976 2818256872 3875103199 7750206398 15500412796 31000825592