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6460972144 = 24113303389
BaseRepresentation
bin1100000010001101…
…01001110001110000
3121200021110101120121
412001012221301300
5101213002102034
62545041020024
7316052233324
oct60106516160
917607411517
106460972144
112816061000
121303924614
137bc737953
14454125984
1527c3421b4
hex1811a9c70

6460972144 has 40 divisors (see below), whose sum is σ = 13769051760. Its totient is φ = 2936795840.

The previous prime is 6460972139. The next prime is 6460972151. The reversal of 6460972144 is 4412790646.

It is a super-2 number, since 2×64609721442 = 83488322091087913472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6460972144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 130399 + ... + 172990.

It is an arithmetic number, because the mean of its divisors is an integer number (344226294).

Almost surely, 26460972144 is an apocalyptic number.

It is an amenable number.

6460972144 is an abundant number, since it is smaller than the sum of its proper divisors (7308079616).

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

6460972144 is a wasteful number, since it uses less digits than its factorization.

6460972144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303430 (or 303402 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 6460972144 is about 80380.1725800586. The cubic root of 6460972144 is about 1862.5129005548.

The spelling of 6460972144 in words is "six billion, four hundred sixty million, nine hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 10648 21296 303389 606778 1213556 2427112 3337279 4854224 6674558 13349116 26698232 36710069 53396464 73420138 146840276 293680552 403810759 587361104 807621518 1615243036 3230486072 6460972144