Search a number
-
+
57180631286272 = 2913371715963
BaseRepresentation
bin11010000000001011001110…
…01101110100001000000000
321111110102012111202022201211
431000011213031310020000
524443321413102130042
6321340230330135504
715021110230324234
oct1500054715641000
9244412174668654
1057180631286272
11172461957352aa
1264b5ba5881594
1325ba1586c4000
1410197b34085c4
156925ed1b5017
hex340167374200

57180631286272 has 160 divisors (see below), whose sum is σ = 125509405633920. Its totient is φ = 26019319173120.

The previous prime is 57180631286269. The next prime is 57180631286279. The reversal of 57180631286272 is 27268213608175.

It is not an unprimeable number, because it can be changed into a prime (57180631286279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79507363 + ... + 80223325.

It is an arithmetic number, because the mean of its divisors is an integer number (784433785212).

Almost surely, 257180631286272 is an apocalyptic number.

57180631286272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57180631286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62754702816960).

57180631286272 is an abundant number, since it is smaller than the sum of its proper divisors (68328774347648).

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

57180631286272 is an frugal number, since it uses more digits than its factorization.

57180631286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716091 (or 716049 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 57180631286272 in words is "fifty-seven trillion, one hundred eighty billion, six hundred thirty-one million, two hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 169 208 256 284 338 416 512 568 676 832 923 1136 1352 1664 1846 2197 2272 2704 3328 3692 4394 4544 5408 6656 7384 8788 9088 10816 11999 14768 17576 18176 21632 23998 29536 35152 36352 43264 47996 59072 70304 86528 95992 118144 140608 155987 191984 236288 281216 311974 383968 472576 562432 623948 715963 767936 1124864 1247896 1431926 1535872 2495792 2863852 3071744 4991584 5727704 6143488 9307519 9983168 11455408 18615038 19966336 22910816 37230076 39932672 45821632 50833373 74460152 79865344 91643264 101666746 120997747 148920304 183286528 203333492 241995494 297840608 366573056 406666984 483990988 595681216 660833849 813333968 967981976 1191362432 1321667698 1572970711 1626667936 1935963952 2382724864 2643335396 3145941422 3253335872 3871927904 4765449728 5286670792 6291882844 6506671744 7743855808 8590840037 10573341584 12583765688 13013343488 15487711616 17181680074 21146683168 25167531376 26026686976 30975423232 34363360148 42293366336 50335062752 61950846464 68726720296 84586732672 100670125504 111680920481 137453440592 169173465344 201340251008 223361840962 274906881184 338346930688 402680502016 446723681924 549813762368 805361004032 893447363848 1099627524736 1786894727696 2199255049472 3573789455392 4398510098944 7147578910784 14295157821568 28590315643136 57180631286272