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46752311325764 = 221131116012134021
BaseRepresentation
bin10101010000101010111101…
…11010001011010001000100
320010112110212221221122110102
422220111132322023101010
522111442213144411024
6243233414301543232
712563512600236242
oct1250253672132104
9203473787848412
1046752311325764
11139955a8a05450
1252b0ab2574b18
132011954943495
14b78b76c79792
155612054ae1ae
hex2a855ee8b444

46752311325764 has 48 divisors (see below), whose sum is σ = 89597374618752. Its totient is φ = 21169478400000.

The previous prime is 46752311325751. The next prime is 46752311325767.

It is a happy number.

46752311325764 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×467523113257642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46752311325767) 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, 20841074 + ... + 22975094.

It is an arithmetic number, because the mean of its divisors is an integer number (1866611971224).

Almost surely, 246752311325764 is an apocalyptic number.

46752311325764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46752311325764 is a deficient number, since it is larger than the sum of its proper divisors (42845063292988).

46752311325764 is a wasteful number, since it uses less digits than its factorization.

46752311325764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135948 (or 2135946 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 56.

The spelling of 46752311325764 in words is "forty-six trillion, seven hundred fifty-two billion, three hundred eleven million, three hundred twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 22 44 311 622 1244 1601 3202 3421 6404 6842 13684 17611 35222 70444 497911 995822 1991644 2134021 4268042 5477021 8536084 10954042 21908084 23474231 46948462 93896924 663680531 1327361062 2654722124 3416567621 6833135242 7300485841 13666270484 14600971682 29201943364 37582243831 75164487662 150328975324 1062552530131 2125105060262 4250210120524 11688077831441 23376155662882 46752311325764