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34513817968 = 2474898423
BaseRepresentation
bin100000001001001011…
…110001000101110000
310022002022211121120101
4200021023301011300
51031141014133333
623504434522144
72331166420000
oct401113610560
9108068747511
1034513817968
1113701172303
126832736354
1333405991c6
141955b10000
15d7004667d
hex8092f1170

34513817968 has 50 divisors (see below), whose sum is σ = 78011054344. Its totient is φ = 14791619808.

The previous prime is 34513817959. The next prime is 34513817969. The reversal of 34513817968 is 86971831543.

It is a super-3 number, since 3×345138179683 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513817969) 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 9 ways as a sum of consecutive naturals, for example, 410796 + ... + 487627.

Almost surely, 234513817968 is an apocalyptic number.

It is an amenable number.

34513817968 is an abundant number, since it is smaller than the sum of its proper divisors (43497236376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34513817968 is an frugal number, since it uses more digits than its factorization.

34513817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898459 (or 898432 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 34513817968 in words is "thirty-four billion, five hundred thirteen million, eight hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 4802 5488 9604 19208 38416 898423 1796846 3593692 6288961 7187384 12577922 14374768 25155844 44022727 50311688 88045454 100623376 176090908 308159089 352181816 616318178 704363632 1232636356 2157113623 2465272712 4314227246 4930545424 8628454492 17256908984 34513817968