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349840825663 = 72232910704061
BaseRepresentation
bin1010001011101000010…
…00110101110100111111
31020110000000020022020011
411011310020311310333
521212433222410123
6424414211004051
734163244645100
oct5056410656477
91213000208204
10349840825663
1112540403130a
1257974b99627
1326cb3909924
1412d0a67a3a7
1591780b0e0d
hex5174235d3f

349840825663 has 24 divisors (see below), whose sum is σ = 439294704480. Its totient is φ = 276935440320.

The previous prime is 349840825657. The next prime is 349840825669. The reversal of 349840825663 is 366528048943.

It is an interprime number because it is at equal distance from previous prime (349840825657) and next prime (349840825669).

It is not a de Polignac number, because 349840825663 - 217 = 349840694591 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349840825598 and 349840825607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349840825669) 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, 5319348 + ... + 5384713.

It is an arithmetic number, because the mean of its divisors is an integer number (18303946020).

Almost surely, 2349840825663 is an apocalyptic number.

349840825663 is a deficient number, since it is larger than the sum of its proper divisors (89453878817).

349840825663 is a wasteful number, since it uses less digits than its factorization.

349840825663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704127 (or 10704120 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 349840825663 in words is "three hundred forty-nine billion, eight hundred forty million, eight hundred twenty-five thousand, six hundred sixty-three".

Divisors: 1 7 23 29 49 161 203 667 1127 1421 4669 32683 10704061 74928427 246193403 310417769 524498989 1723353821 2172924383 7139608687 12063476747 15210470681 49977260809 349840825663