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418268710664 = 23721067012017
BaseRepresentation
bin1100001011000101100…
…00100000011100001000
31110222121212101000202022
412011202300200130020
523323103242220124
6520052222024012
742135042244100
oct6054260403410
91428555330668
10418268710664
11151428868092
1269091418008
133059a4328cc
141635c57a200
15ad3067ec5e
hex6162c20708

418268710664 has 24 divisors (see below), whose sum is σ = 912295275390. Its totient is φ = 179258018688.

The previous prime is 418268710661. The next prime is 418268710693. The reversal of 418268710664 is 466017862814.

It can be written as a sum of positive squares in only one way, i.e., 372536888164 + 45731822500 = 610358^2 + 213850^2 .

It is not an unprimeable number, because it can be changed into a prime (418268710661) 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 5 ways as a sum of consecutive naturals, for example, 533505617 + ... + 533506400.

Almost surely, 2418268710664 is an apocalyptic number.

It is an amenable number.

418268710664 is an abundant number, since it is smaller than the sum of its proper divisors (494026564726).

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

418268710664 is a wasteful number, since it uses less digits than its factorization.

418268710664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067012037 (or 1067012026 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 418268710664 in words is "four hundred eighteen billion, two hundred sixty-eight million, seven hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1067012017 2134024034 4268048068 7469084119 8536096136 14938168238 29876336476 52283588833 59752672952 104567177666 209134355332 418268710664