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34937473943 = 8328956983
BaseRepresentation
bin100000100010011011…
…111000101110010111
310100011212000120022102
4200202123320232113
51033022443131233
624014451152315
72344532425421
oct404233705627
9110155016272
1034937473943
11138a9325309
1269305a569b
1333aa2a1008
1419960b1811
15d9732e1e8
hex8226f8b97

34937473943 has 12 divisors (see below), whose sum is σ = 35761448880. Its totient is φ = 34128115296.

The previous prime is 34937473937. The next prime is 34937473957.

34937473943 is nontrivially palindromic in base 10.

34937473943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-34937473943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34937473843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584630 + ... + 641612.

It is an arithmetic number, because the mean of its divisors is an integer number (2980120740).

Almost surely, 234937473943 is an apocalyptic number.

34937473943 is a deficient number, since it is larger than the sum of its proper divisors (823974937).

34937473943 is an frugal number, since it uses more digits than its factorization.

34937473943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57238 (or 57155 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 56.

The spelling of 34937473943 in words is "thirty-four billion, nine hundred thirty-seven million, four hundred seventy-three thousand, nine hundred forty-three".

Divisors: 1 83 89 6889 7387 56983 613121 4729589 5071487 392555887 420933421 34937473943