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345761307620512 = 2571543577266163
BaseRepresentation
bin100111010011101111101001…
…1111010101111010010100000
31200100020110101000120221012021
41032213133103322233102200
5330304423124222324022
63223212315113311224
7132554300346360010
oct11647372372572240
91610213330527167
10345761307620512
11a019660219a413
1232942a36405514
1311ac11c78333a4
146154d17d97c40
1529e90a22a07c7
hex13a77d3eaf4a0

345761307620512 has 24 divisors (see below), whose sum is σ = 777962942146656. Its totient is φ = 148183417551552.

The previous prime is 345761307620507. The next prime is 345761307620513. The reversal of 345761307620512 is 215026703167543.

It is a self number, because there is not a number n which added to its sum of digits gives 345761307620512.

It is not an unprimeable number, because it can be changed into a prime (345761307620513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 771788632858 + ... + 771788633305.

It is an arithmetic number, because the mean of its divisors is an integer number (32415122589444).

Almost surely, 2345761307620512 is an apocalyptic number.

345761307620512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345761307620512 is an abundant number, since it is smaller than the sum of its proper divisors (432201634526144).

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

345761307620512 is a wasteful number, since it uses less digits than its factorization.

345761307620512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543577266180 (or 1543577266172 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 345761307620512 in words is "three hundred forty-five trillion, seven hundred sixty-one billion, three hundred seven million, six hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1543577266163 3087154532326 6174309064652 10805040863141 12348618129304 21610081726282 24697236258608 43220163452564 49394472517216 86440326905128 172880653810256 345761307620512