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1041761300064 = 25323721965357
BaseRepresentation
bin11110010100011011100…
…11111110111001100000
310200120222010200021110020
433022031303332321200
5114032011343100224
62114324544033440
7135156546642312
oct17121563767140
93616863607406
101041761300064
11371899105821
12149a97902880
137731220b294
14385c88d57b2
151c172baec79
hexf28dcfee60

1041761300064 has 96 divisors (see below), whose sum is σ = 2853959028480. Its totient is φ = 332104684032.

The previous prime is 1041761300051. The next prime is 1041761300113. The reversal of 1041761300064 is 4600031671401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10417613000642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1041761299998 and 1041761300034.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15906874 + ... + 15972230.

It is an arithmetic number, because the mean of its divisors is an integer number (29728739880).

Almost surely, 21041761300064 is an apocalyptic number.

It is an amenable number.

1041761300064 is an abundant number, since it is smaller than the sum of its proper divisors (1812197728416).

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

1041761300064 is a wasteful number, since it uses less digits than its factorization.

1041761300064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72612 (or 72604 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 1041761300064 its reverse (4600031671401), we get a palindrome (5641792971465).

The spelling of 1041761300064 in words is "one trillion, forty-one billion, seven hundred sixty-one million, three hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 7219 14438 21657 28876 43314 57752 65357 86628 115504 130714 166037 173256 196071 231008 261428 332074 346512 392142 498111 522856 664148 693024 784284 996222 1045712 1328296 1503211 1568568 1992444 2091424 2656592 3006422 3137136 3984888 4509633 5313184 6012844 6274272 7969776 9019266 12025688 15939552 18038532 24051376 36077064 48102752 72154128 144308256 471812183 943624366 1415436549 1887248732 2830873098 3774497464 5661746196 7548994928 10851680209 11323492392 15097989856 21703360418 22646984784 32555040627 43406720836 45293969568 65110081254 86813441672 130220162508 173626883344 260440325016 347253766688 520880650032 1041761300064