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51561660515010 = 2354323832427001
BaseRepresentation
bin10111011100101001000100…
…11101011000001011000010
320202120020122202221002222120
423232110202131120023002
523224241240042440020
6301355033321545110
713601131004655042
oct1356244235301302
9222506582832876
1051561660515010
111547a1a5172a98
125948bb3945196
1322a03225c9a09
14ca3852091722
155e6385411740
hex2ee5227582c2

51561660515010 has 96 divisors (see below), whose sum is σ = 127023615203328. Its totient is φ = 13394943072000.

The previous prime is 51561660514999. The next prime is 51561660515011. The reversal of 51561660515010 is 1051506616515.

It is a super-3 number, since 3×515616605150103 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51561660515011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20031510 + ... + 22458510.

It is an arithmetic number, because the mean of its divisors is an integer number (1323162658368).

Almost surely, 251561660515010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51561660515010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63511807601664).

51561660515010 is an abundant number, since it is smaller than the sum of its proper divisors (75461954688318).

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

51561660515010 is a wasteful number, since it uses less digits than its factorization.

51561660515010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427480 (or 2427437 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 51561660515010 in words is "fifty-one trillion, five hundred sixty-one billion, six hundred sixty million, five hundred fifteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 383 430 645 766 1149 1290 1849 1915 2298 3698 3830 5547 5745 9245 11094 11490 16469 18490 27735 32938 49407 55470 82345 98814 164690 247035 494070 708167 1416334 2124501 2427001 3540835 4249002 4854002 7081670 7281003 10622505 12135005 14562006 21245010 24270010 36405015 72810030 104361043 208722086 313083129 521805215 626166258 929541383 1043610430 1565415645 1859082766 2788624149 3130831290 4487524849 4647706915 5577248298 8975049698 9295413830 13462574547 13943120745 22437624245 26925149094 27886241490 39970279469 44875248490 67312872735 79940558938 119910838407 134625745470 199851397345 239821676814 399702794690 599554192035 1199108384070 1718722017167 3437444034334 5156166051501 8593610085835 10312332103002 17187220171670 25780830257505 51561660515010