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34935972643 = 11136113732917
BaseRepresentation
bin100000100010010110…
…001010001100100011
310100011202012021220201
4200202112022030203
51033022102111033
624014355050031
72344513603435
oct404226121443
9110152167821
1034935972643
11138a849a370
12692bba0917
1333a9b96880
141995c00655
15d9713447d
hex82258a323

34935972643 has 32 divisors (see below), whose sum is σ = 41761202112. Its totient is φ = 28805414400.

The previous prime is 34935972637. The next prime is 34935972667. The reversal of 34935972643 is 34627953943.

It is a cyclic number.

It is not a de Polignac number, because 34935972643 - 225 = 34902418211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34935972623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11975221 + ... + 11978137.

It is an arithmetic number, because the mean of its divisors is an integer number (1305037566).

Almost surely, 234935972643 is an apocalyptic number.

34935972643 is a deficient number, since it is larger than the sum of its proper divisors (6825229469).

34935972643 is a wasteful number, since it uses less digits than its factorization.

34935972643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375.

The product of its digits is 14696640, while the sum is 55.

The spelling of 34935972643 in words is "thirty-four billion, nine hundred thirty-five million, nine hundred seventy-two thousand, six hundred forty-three".

Divisors: 1 11 13 61 143 671 793 1373 2917 8723 15103 17849 32087 37921 83753 177937 196339 417131 921283 1088789 1957307 2313181 4005041 11976679 25444991 44055451 52065533 244307501 572720863 2687382511 3175997513 34935972643