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46034243064 = 2332652198047
BaseRepresentation
bin101010110111110110…
…101100110111111000
311101211012112211211100
4222313312230313320
51223234231234224
633051533331400
73216525416115
oct526766546770
9141735484740
1046034243064
1118583148187
128b08936b60
13445827a6a4
142329b7190c
1512e6635ac9
hexab7dacdf8

46034243064 has 48 divisors (see below), whose sum is σ = 124696465920. Its totient is φ = 15342238080.

The previous prime is 46034243027. The next prime is 46034243069.

46034243064 is a `hidden beast` number, since 4 + 6 + 0 + 342 + 4 + 306 + 4 = 666.

46034243064 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46034243069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 420489 + ... + 518535.

It is an arithmetic number, because the mean of its divisors is an integer number (2597843040).

Almost surely, 246034243064 is an apocalyptic number.

It is an amenable number.

46034243064 is an abundant number, since it is smaller than the sum of its proper divisors (78662222856).

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

46034243064 is a wasteful number, since it uses less digits than its factorization.

46034243064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104580 (or 104573 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 46034243064 in words is "forty-six billion, thirty-four million, two hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6521 13042 19563 26084 39126 52168 58689 78252 98047 117378 156504 196094 234756 294141 392188 469512 588282 784376 882423 1176564 1764846 2353128 3529692 7059384 639364487 1278728974 1918093461 2557457948 3836186922 5114915896 5754280383 7672373844 11508560766 15344747688 23017121532 46034243064