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6126643640 = 2351347250681
BaseRepresentation
bin1011011010010110…
…10010100110111000
3120210222100202002102
411231023102212320
5100021410044030
62451535122532
7304552416545
oct55513224670
916728322072
106126643640
112664370057
12122b973448
137683aa930
14421977bcc
1525cd01c45
hex16d2d29b8

6126643640 has 64 divisors (see below), whose sum is σ = 15161247360. Its totient is φ = 2214005760.

The previous prime is 6126643639. The next prime is 6126643667. The reversal of 6126643640 is 463466216.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6126643594 and 6126643603.

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 15 ways as a sum of consecutive naturals, for example, 100901 + ... + 149780.

It is an arithmetic number, because the mean of its divisors is an integer number (236894490).

Almost surely, 26126643640 is an apocalyptic number.

It is an amenable number.

6126643640 is an abundant number, since it is smaller than the sum of its proper divisors (9034603720).

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

6126643640 is a wasteful number, since it uses less digits than its factorization.

6126643640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250752 (or 250748 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 6126643640 is about 78272.8793388872. The cubic root of 6126643640 is about 1829.8165024486.

The spelling of 6126643640 in words is "six billion, one hundred twenty-six million, six hundred forty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1222 1880 2444 3055 4888 6110 12220 24440 250681 501362 1002724 1253405 2005448 2506810 3258853 5013620 6517706 10027240 11782007 13035412 16294265 23564014 26070824 32588530 47128028 58910035 65177060 94256056 117820070 130354120 153166091 235640140 306332182 471280280 612664364 765830455 1225328728 1531660910 3063321820 6126643640