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346056401741764 = 22738332269339961
BaseRepresentation
bin100111010101111001000100…
…0111001011110011111000100
31200101021200001122020111110111
41032223302020321132133010
5330324242002321214024
63224000041040402404
7132614515144124020
oct11653621071363704
91611250048214414
10346056401741764
11a029a77212536a
1232990070916404
1311b12c9516915c
14616530d739380
152a01ac3deaa94
hex13abc88e5e7c4

346056401741764 has 24 divisors (see below), whose sum is σ = 693919886542848. Its totient is φ = 147922654376640.

The previous prime is 346056401741741. The next prime is 346056401741777. The reversal of 346056401741764 is 467147104650643.

It is a junction number, because it is equal to n+sod(n) for n = 346056401741699 and 346056401741708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16134659257 + ... + 16134680704.

It is an arithmetic number, because the mean of its divisors is an integer number (28913328605952).

Almost surely, 2346056401741764 is an apocalyptic number.

It is an amenable number.

346056401741764 is an abundant number, since it is smaller than the sum of its proper divisors (347863484801084).

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

346056401741764 is a wasteful number, since it uses less digits than its factorization.

346056401741764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32269340355 (or 32269340353 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 346056401741764 in words is "three hundred forty-six trillion, fifty-six billion, four hundred one million, seven hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 383 766 1532 2681 5362 10724 32269339961 64538679922 129077359844 225885379727 451770759454 903541518908 12359157205063 24718314410126 49436628820252 86514100435441 173028200870882 346056401741764