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346893093481064 = 231379197214323107
BaseRepresentation
bin100111011011111110101011…
…1100111001010101001101000
31200111020122201010100201102112
41032313331113213022221220
5330431444023412343224
63225440253120221452
7133032125144430644
oct11667752747125150
91614218633321375
10346893093481064
11a0592597870949
1232aa625716a888
1311b73b55982a70
146193a02b41c24
152a1874353e30e
hex13b7f579caa68

346893093481064 has 64 divisors (see below), whose sum is σ = 712924386451200. Its totient is φ = 157275438937344.

The previous prime is 346893093481061. The next prime is 346893093481073. The reversal of 346893093481064 is 460184390398643.

It is a junction number, because it is equal to n+sod(n) for n = 346893093480985 and 346893093481003.

It is not an unprimeable number, because it can be changed into a prime (346893093481061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105543002 + ... + 108780105.

It is an arithmetic number, because the mean of its divisors is an integer number (11139443538300).

Almost surely, 2346893093481064 is an apocalyptic number.

It is an amenable number.

346893093481064 is an abundant number, since it is smaller than the sum of its proper divisors (366031292970136).

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

346893093481064 is a wasteful number, since it uses less digits than its factorization.

346893093481064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214323402 (or 214323398 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 68.

The spelling of 346893093481064 in words is "three hundred forty-six trillion, eight hundred ninety-three billion, ninety-three million, four hundred eighty-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 79 104 158 197 316 394 632 788 1027 1576 2054 2561 4108 5122 8216 10244 15563 20488 31126 62252 124504 202319 404638 809276 1618552 214323107 428646214 857292428 1714584856 2786200391 5572400782 11144801564 16931525453 22289603128 33863050906 42221652079 67726101812 84443304158 135452203624 168886608316 220109830889 337773216632 440219661778 548881477027 880439323556 1097762954054 1760878647112 2195525908108 3335510514241 4391051816216 6671021028482 13342042056964 26684084113928 43361636685133 86723273370266 173446546740532 346893093481064