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34627000881 = 31121312712687
BaseRepresentation
bin100000001111111011…
…100001101000110001
310022101012210220100010
4200033323201220301
51031404003012011
623524000445133
72334042436224
oct401773415061
9108335726303
1034627000881
111375a048300
1268646197a9
13335ab77245
141966b735bb
15d79e521a6
hex80fee1a31

34627000881 has 48 divisors (see below), whose sum is σ = 51343294464. Its totient is φ = 20741292000.

The previous prime is 34627000873. The next prime is 34627000883. The reversal of 34627000881 is 18800072643.

It is not a de Polignac number, because 34627000881 - 23 = 34627000873 is a prime.

It is a super-2 number, since 2×346270008812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34627000883) 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 47 ways as a sum of consecutive naturals, for example, 12885520 + ... + 12888206.

It is an arithmetic number, because the mean of its divisors is an integer number (1069651968).

Almost surely, 234627000881 is an apocalyptic number.

It is an amenable number.

34627000881 is a deficient number, since it is larger than the sum of its proper divisors (16716293583).

34627000881 is a wasteful number, since it uses less digits than its factorization.

34627000881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 34627000881 in words is "thirty-four billion, six hundred twenty-seven million, eight hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 11 33 121 131 271 363 393 813 1441 2687 2981 4323 8061 8943 15851 29557 32791 35501 47553 88671 98373 106503 325127 351997 390511 728177 975381 1055991 1171533 2184531 3871967 4295621 8009947 11615901 12886863 24029841 42591637 88109417 95391187 127774911 264328251 286173561 1049303057 3147909171 11542333627 34627000881