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8057013335 = 571499911559
BaseRepresentation
bin1111000000011110…
…00100010001010111
3202210111200200111022
413200033010101113
5113000043411320
63411253431355
7403442324540
oct74017042127
922714620438
108057013335
113464a79408
12168a33b55b
139b52b5817
145660a94c7
1532250d325
hex1e03c4457

8057013335 has 32 divisors (see below), whose sum is σ = 11142144000. Its totient is φ = 5478675840.

The previous prime is 8057013311. The next prime is 8057013347. The reversal of 8057013335 is 5333107508.

8057013335 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with 3085130664 it forms a betrothed pair.

It is not a de Polignac number, because 8057013335 - 210 = 8057012311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 8057013295 and 8057013304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5167286 + ... + 5168844.

It is an arithmetic number, because the mean of its divisors is an integer number (348192000).

Almost surely, 28057013335 is an apocalyptic number.

8057013335 is a deficient number, since it is larger than the sum of its proper divisors (3085130665).

8057013335 is a wasteful number, since it uses less digits than its factorization.

8057013335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 8057013335 is about 89760.8675036065. The cubic root of 8057013335 is about 2004.7398691960.

The spelling of 8057013335 in words is "eight billion, fifty-seven million, thirteen thousand, three hundred thirty-five".

Divisors: 1 5 7 35 149 745 991 1043 1559 4955 5215 6937 7795 10913 34685 54565 147659 232291 738295 1033613 1161455 1544969 1626037 5168065 7724845 8130185 10814783 54073915 230200381 1151001905 1611402667 8057013335