Search a number
-
+
521534775761130 = 2351914912135062457
BaseRepresentation
bin111011010010101010100011…
…1000011000001100011101010
32112101121020102020101222211210
41312211111013003001203222
51021324311210043324010
65045113433550533550
7214565433633631665
oct16645250703014352
92471536366358753
10521534775761130
111411a472459624a
124a5b0b252072b6
13195016979c1a71
1492b05bc75c6dc
1540464b2b67b20
hex1da55470c18ea

521534775761130 has 128 divisors (see below), whose sum is σ = 1327497986592000. Its totient is φ = 130763967473664.

The previous prime is 521534775761119. The next prime is 521534775761213. The reversal of 521534775761130 is 31167577435125.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100488862 + ... + 105551318.

It is an arithmetic number, because the mean of its divisors is an integer number (10371078020250).

Almost surely, 2521534775761130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521534775761130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663748993296000).

521534775761130 is an abundant number, since it is smaller than the sum of its proper divisors (805963210830870).

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

521534775761130 is a wasteful number, since it uses less digits than its factorization.

521534775761130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063848.

The product of its (nonzero) digits is 18522000, while the sum is 57.

The spelling of 521534775761130 in words is "five hundred twenty-one trillion, five hundred thirty-four billion, seven hundred seventy-five million, seven hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 149 190 285 298 447 570 745 894 1213 1490 2235 2426 2831 3639 4470 5662 6065 7278 8493 12130 14155 16986 18195 23047 28310 36390 42465 46094 69141 84930 115235 138282 180737 230470 345705 361474 542211 691410 903685 1084422 1807370 2711055 3434003 5062457 5422110 6868006 10124914 10302009 15187371 17170015 20604018 25312285 30374742 34340030 50624570 51510045 75936855 96186683 103020090 151873710 192373366 288560049 480933415 577120098 754306093 961866830 1442800245 1508612186 2262918279 2885600490 3771530465 4525836558 6140760341 7543060930 11314591395 12281520682 14331815767 18422281023 22629182790 28663631534 30703801705 36844562046 42995447301 61407603410 71659078835 85990894602 92111405115 116674446479 143318157670 184222810230 214977236505 233348892958 350023339437 429954473010 583372232395 700046678874 914973290809 1166744464790 1750116697185 1829946581618 2744919872427 3500233394370 4574866454045 5489839744854 9149732908090 13724599362135 17384492525371 27449198724270 34768985050742 52153477576113 86922462626855 104306955152226 173844925253710 260767387880565 521534775761130