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2648795814 = 2327192414591
BaseRepresentation
bin1001110111100001…
…0110101010100110
320211121011202202200
42131320112222212
520411042431224
61114500515330
7122432251530
oct23570265246
96747152680
102648795814
11113a1a3555
1261b0abb46
133329c9202
141b1b04850
1510781d5c9
hex9de16aa6

2648795814 has 96 divisors (see below), whose sum is σ = 6934287360. Its totient is φ = 713836800.

The previous prime is 2648795791. The next prime is 2648795843. The reversal of 2648795814 is 4185978462.

It is a happy number.

It is a super-2 number, since 2×26487958142 = 14032238528527845192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 574659 + ... + 579249.

It is an arithmetic number, because the mean of its divisors is an integer number (72232160).

Almost surely, 22648795814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648795814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467143680).

2648795814 is an abundant number, since it is smaller than the sum of its proper divisors (4285491546).

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

2648795814 is a wasteful number, since it uses less digits than its factorization.

2648795814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4863 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2648795814 is about 51466.4532875542. The cubic root of 2648795814 is about 1383.6178636221.

The spelling of 2648795814 in words is "two billion, six hundred forty-eight million, seven hundred ninety-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 241 266 342 399 482 723 798 1197 1446 1687 2169 2394 3374 4338 4579 4591 5061 9158 9182 10122 13737 13773 15183 27474 27546 30366 32053 32137 41211 41319 64106 64274 82422 82638 87229 96159 96411 174458 192318 192822 261687 288477 289233 523374 576954 578466 610603 785061 1106431 1221206 1570122 1831809 2212862 3319293 3663618 5495427 6638586 7745017 9957879 10990854 15490034 19915758 21022189 23235051 42044378 46470102 63066567 69705153 126133134 139410306 147155323 189199701 294310646 378399402 441465969 882931938 1324397907 2648795814