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6312640224 = 253115977879
BaseRepresentation
bin1011110000100001…
…10011111011100000
3121021221100100102210
411320100303323200
5100412013441344
62522221442120
7312301361622
oct57020637340
917257310383
106312640224
11274a359040
121282110340
13797aa1097
1443c552c12
1526e2e1db9
hex178433ee0

6312640224 has 48 divisors (see below), whose sum is σ = 18077109120. Its totient is φ = 1912920960.

The previous prime is 6312640219. The next prime is 6312640253. The reversal of 6312640224 is 4220462136.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 6312640191 and 6312640200.

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, 2987884 + ... + 2989995.

It is an arithmetic number, because the mean of its divisors is an integer number (376606440).

Almost surely, 26312640224 is an apocalyptic number.

It is an amenable number.

6312640224 is an abundant number, since it is smaller than the sum of its proper divisors (11764468896).

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

6312640224 is a wasteful number, since it uses less digits than its factorization.

6312640224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977903 (or 5977895 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6312640224 is about 79452.1253586082. The cubic root of 6312640224 is about 1848.1491324711.

The spelling of 6312640224 in words is "six billion, three hundred twelve million, six hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5977879 11955758 17933637 23911516 35867274 47823032 65756669 71734548 95646064 131513338 143469096 191292128 197270007 263026676 286938192 394540014 526053352 573876384 789080028 1052106704 1578160056 2104213408 3156320112 6312640224