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345725763560 = 23513309649421
BaseRepresentation
bin1010000011111101101…
…11000111111111101000
31020001101020000111020122
411001332313013333220
521131021243413220
6422454010542412
733656256334352
oct5017667077750
91201336014218
10345725763560
111236921a9241
1257006a37a08
13267a91cca38
1412a39d340d2
158ed6bad425
hex507edc7fe8

345725763560 has 32 divisors (see below), whose sum is σ = 777942613800. Its totient is φ = 138279701760.

The previous prime is 345725763553. The next prime is 345725763563. The reversal of 345725763560 is 65367527543.

It can be written as a sum of positive squares in 4 ways, for example, as 52154683876 + 293571079684 = 228374^2 + 541822^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (345725763563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207650 + ... + 857070.

Almost surely, 2345725763560 is an apocalyptic number.

It is an amenable number.

345725763560 is an abundant number, since it is smaller than the sum of its proper divisors (432216850240).

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

345725763560 is a wasteful number, since it uses less digits than its factorization.

345725763560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662741 (or 662737 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 53.

The spelling of 345725763560 in words is "three hundred forty-five billion, seven hundred twenty-five million, seven hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 13309 26618 53236 66545 106472 133090 266180 532360 649421 1298842 2597684 3247105 5195368 6494210 12988420 25976840 8643144089 17286288178 34572576356 43215720445 69145152712 86431440890 172862881780 345725763560