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46374344347364 = 22115917863769009
BaseRepresentation
bin10101000101101010111100…
…10100100100111011100100
320002012100021210101202001122
422202311132110210323210
522034244124123103424
6242344025113513112
712524302325025635
oct1242653624447344
9202170253352048
1046374344347364
111385a281453310
12524b7aa112798
131cb510ac49537
14b6475cdb188c
1555648306845e
hex2a2d5e524ee4

46374344347364 has 24 divisors (see below), whose sum is σ = 90033395810400. Its totient is φ = 20721972049280.

The previous prime is 46374344347343. The next prime is 46374344347391.

It is a happy number.

46374344347364 is nontrivially palindromic in base 10.

46374344347364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46374344347297 and 46374344347306.

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 7 ways as a sum of consecutive naturals, for example, 8931881909 + ... + 8931887100.

It is an arithmetic number, because the mean of its divisors is an integer number (3751391492100).

Almost surely, 246374344347364 is an apocalyptic number.

46374344347364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46374344347364 is a deficient number, since it is larger than the sum of its proper divisors (43659051463036).

46374344347364 is a wasteful number, since it uses less digits than its factorization.

46374344347364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17863769083 (or 17863769081 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 62.

The spelling of 46374344347364 in words is "forty-six trillion, three hundred seventy-four billion, three hundred forty-four million, three hundred forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 59 118 236 649 1298 2596 17863769009 35727538018 71455076036 196501459099 393002918198 786005836396 1053962371531 2107924743062 4215849486124 11593586086841 23187172173682 46374344347364