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8468008444 = 2271453208141
BaseRepresentation
bin1111110001011101…
…11000110111111100
3210212011001101210101
413320232320313330
5114320302232234
63520134450444
7416562612160
oct77056706774
923764041711
108468008444
113655a74095
121783b03a24
13a4c4a68ac
145a48d2ca0
15348644814
hex1f8bb8dfc

8468008444 has 24 divisors (see below), whose sum is σ = 16947754208. Its totient is φ = 3626631360.

The previous prime is 8468008427. The next prime is 8468008481. The reversal of 8468008444 is 4448008648.

It is a super-2 number, since 2×84680084442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8468008394 and 8468008403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63387 + ... + 144754.

Almost surely, 28468008444 is an apocalyptic number.

It is an amenable number.

8468008444 is an abundant number, since it is smaller than the sum of its proper divisors (8479745764).

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

8468008444 is a wasteful number, since it uses less digits than its factorization.

8468008444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209605 (or 209603 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The square root of 8468008444 is about 92021.7824430716. The cubic root of 8468008444 is about 2038.2639693677.

The spelling of 8468008444 in words is "eight billion, four hundred sixty-eight million, eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 1453 2906 5812 10171 20342 40684 208141 416282 832564 1456987 2913974 5827948 302428873 604857746 1209715492 2117002111 4234004222 8468008444