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46121664312 = 2332745785903
BaseRepresentation
bin101010111101000100…
…001011111100111000
311102001022001022020100
4222331010023330320
51223424121224222
633104335155400
73221636451423
oct527504137470
9142038038210
1046121664312
1118618528049
128b32075b60
134470408939
14233760a9ba
1512ee1534ac
hexabd10bf38

46121664312 has 48 divisors (see below), whose sum is σ = 124931046240. Its totient is φ = 15371647488.

The previous prime is 46121664307. The next prime is 46121664419. The reversal of 46121664312 is 21346612164.

46121664312 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 1 + 6 + 643 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 493953 + ... + 579855.

It is an arithmetic number, because the mean of its divisors is an integer number (2602730130).

Almost surely, 246121664312 is an apocalyptic number.

It is an amenable number.

46121664312 is an abundant number, since it is smaller than the sum of its proper divisors (78809381928).

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

46121664312 is a wasteful number, since it uses less digits than its factorization.

46121664312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93372 (or 93365 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 46121664312 in words is "forty-six billion, one hundred twenty-one million, six hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7457 14914 22371 29828 44742 59656 67113 85903 89484 134226 171806 178968 257709 268452 343612 515418 536904 687224 773127 1030836 1546254 2061672 3092508 6185016 640578671 1281157342 1921736013 2562314684 3843472026 5124629368 5765208039 7686944052 11530416078 15373888104 23060832156 46121664312