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345856825859589 = 321123151891447457
BaseRepresentation
bin100111010100011100001000…
…1001111111001111000000101
31200100120120220212000020020200
41032220320101033321320011
5330313004234410001324
63223324233220521113
7132564221363121102
oct11650702117717005
91610516825006220
10345856825859589
11a0223068802170
1232959453250199
1311aca20a984095
1461597b9ad9aa9
1529eb7e2d00ec9
hex13a8e113f9e05

345856825859589 has 24 divisors (see below), whose sum is σ = 568681579282752. Its totient is φ = 200496710641920.

The previous prime is 345856825859561. The next prime is 345856825859609. The reversal of 345856825859589 is 985958528658543.

It is a happy number.

345856825859589 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 5 + 6 + 8 + 2 + 5 + 8 + 595 + 8 + 9 = 666.

It is not a de Polignac number, because 345856825859589 - 215 = 345856825826821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345856825859499 and 345856825859508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345856825859989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75945721452 + ... + 75945726005.

It is an arithmetic number, because the mean of its divisors is an integer number (23695065803448).

Almost surely, 2345856825859589 is an apocalyptic number.

It is an amenable number.

345856825859589 is a deficient number, since it is larger than the sum of its proper divisors (222824753423163).

345856825859589 is a wasteful number, since it uses less digits than its factorization.

345856825859589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151891447497 (or 151891447494 counting only the distinct ones).

The product of its digits is 149299200000, while the sum is 90.

The spelling of 345856825859589 in words is "three hundred forty-five trillion, eight hundred fifty-six billion, eight hundred twenty-five million, eight hundred fifty-nine thousand, five hundred eighty-nine".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 151891447457 455674342371 1367023027113 1670805922027 3493503291511 5012417766081 10480509874533 15037253298243 31441529623599 38428536206621 115285608619863 345856825859589