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34361666431 = 236725518741
BaseRepresentation
bin100000000000000111…
…010110101101111111
310021200201112111220021
4200000013112231333
51030333041311211
623441401433011
72324341226341
oct400007265577
9107621474807
1034361666431
11136332a0634
1267ab79b767
133317bc5c01
14193d825291
15d619de771
hex8001d6b7f

34361666431 has 16 divisors (see below), whose sum is σ = 36409241088. Its totient is φ = 32360724000.

The previous prime is 34361666399. The next prime is 34361666461. The reversal of 34361666431 is 13466616343.

It is not a de Polignac number, because 34361666431 - 25 = 34361666399 is a prime.

It is a super-2 number, since 2×343616664312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361666461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926721 + ... + 3935461.

It is an arithmetic number, because the mean of its divisors is an integer number (2275577568).

Almost surely, 234361666431 is an apocalyptic number.

34361666431 is a deficient number, since it is larger than the sum of its proper divisors (2047574657).

34361666431 is a wasteful number, since it uses less digits than its factorization.

34361666431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382.

The product of its digits is 559872, while the sum is 43.

The spelling of 34361666431 in words is "thirty-four billion, three hundred sixty-one million, six hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 23 67 1541 2551 8741 58673 170917 201043 585647 3931091 13469881 22298291 512860693 1493985497 34361666431