Search a number
-
+
46796755769764 = 22721131313798703
BaseRepresentation
bin10101010001111101110000…
…00000010001100110100100
320010200201121101000022221221
422220332320000101212210
522113204223434113024
6243310044404350124
712566645142622600
oct1250767000214644
9203621541008857
1046796755769764
1113a02435709000
1252b96369a5344
132015bb871a260
14b7ad91810500
1556245725d3e4
hex2a8fb80119a4

46796755769764 has 144 divisors (see below), whose sum is σ = 112844476636416. Its totient is φ = 16830000855360.

The previous prime is 46796755769759. The next prime is 46796755769809.

46796755769764 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3507964 + ... + 10290739.

It is an arithmetic number, because the mean of its divisors is an integer number (783642198864).

Almost surely, 246796755769764 is an apocalyptic number.

46796755769764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46796755769764 is an abundant number, since it is smaller than the sum of its proper divisors (66047720866652).

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

46796755769764 is a wasteful number, since it uses less digits than its factorization.

46796755769764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798767 (or 13798736 counting only the distinct ones).

The product of its digits is 100818950400, while the sum is 88.

The spelling of 46796755769764 in words is "forty-six trillion, seven hundred ninety-six billion, seven hundred fifty-five million, seven hundred sixty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 484 539 572 637 847 1001 1078 1274 1331 1573 1694 2002 2156 2548 2662 3146 3388 4004 5324 5929 6292 7007 9317 11011 11858 14014 17303 18634 22022 23716 28028 34606 37268 44044 65219 69212 77077 121121 130438 154154 242242 260876 308308 484484 847847 1695694 3391388 13798703 27597406 55194812 96590921 151785733 179383139 193181842 303571466 358766278 386363684 607142932 676136447 717532556 1062500131 1255681973 1352272894 1669643063 1973214529 2125000262 2511363946 2704545788 3339286126 3946429058 4250000524 5022727892 6678572252 7437500917 7892858116 8789773811 11687501441 13812501703 14875001834 17579547622 18366073693 21705359819 23375002882 27625003406 29750003668 35159095244 36732147386 43410719638 46750005764 55250006812 73464294772 81812510087 86821439276 96687511921 128562515851 151937518733 163625020174 193375023842 238758958009 257125031702 303875037466 327250040348 386750047684 477517916018 514250063404 607750074932 899937610957 955035832036 1063562631131 1671312706063 1799875221914 2127125262262 3342625412126 3599750443828 4254250524524 6685250824252 11699188942441 23398377884882 46796755769764