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345616265601 = 3238401807289
BaseRepresentation
bin1010000011110000101…
…01011011000110000001
31020001002120222102021200
411001320111123012001
521130310230444401
6422435100011413
733653456533335
oct5017025330601
91201076872250
10345616265601
1112363640a862
1256b96230b69
132678c612049
1412a2958d7c5
158ecc27e686
hex507855b181

345616265601 has 6 divisors (see below), whose sum is σ = 499223494770. Its totient is φ = 230410843728.

The previous prime is 345616265581. The next prime is 345616265623. The reversal of 345616265601 is 106562616543.

345616265601 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 16 + 26 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 261080121600 + 84536144001 = 510960^2 + 290751^2 .

It is not a de Polignac number, because 345616265601 - 219 = 345615741313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345616265201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19200903636 + ... + 19200903653.

It is an arithmetic number, because the mean of its divisors is an integer number (83203915795).

Almost surely, 2345616265601 is an apocalyptic number.

It is an amenable number.

345616265601 is a deficient number, since it is larger than the sum of its proper divisors (153607229169).

345616265601 is a wasteful number, since it uses less digits than its factorization.

345616265601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38401807295 (or 38401807292 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 345616265601 in words is "three hundred forty-five billion, six hundred sixteen million, two hundred sixty-five thousand, six hundred one".

Divisors: 1 3 9 38401807289 115205421867 345616265601