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5600616672 = 253731326627
BaseRepresentation
bin1010011011101001…
…01010000011100000
3112110022112210202010
411031310222003200
542432224213142
62323424352520
7255534312330
oct51564520340
915408483663
105600616672
112414447222
121103775740
136b3412081
143b1b690c0
1522ba46e9c
hex14dd2a0e0

5600616672 has 96 divisors (see below), whose sum is σ = 16856163072. Its totient is φ = 1595003904.

The previous prime is 5600616667. The next prime is 5600616701. The reversal of 5600616672 is 2766160065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5600616672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197023 + ... + 223649.

It is an arithmetic number, because the mean of its divisors is an integer number (175585032).

Almost surely, 25600616672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428081536).

5600616672 is an abundant number, since it is smaller than the sum of its proper divisors (11255546400).

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

5600616672 is a wasteful number, since it uses less digits than its factorization.

5600616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26960 (or 26952 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5600616672 is about 74837.2679351672. The cubic root of 5600616672 is about 1775.8731850851.

The spelling of 5600616672 in words is "five billion, six hundred million, six hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 313 336 626 672 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 10016 13146 15024 17528 26292 26627 30048 35056 52584 53254 70112 79881 105168 106508 159762 186389 210336 213016 319524 372778 426032 559167 639048 745556 852064 1118334 1278096 1491112 2236668 2556192 2982224 4473336 5964448 8334251 8946672 16668502 17893344 25002753 33337004 50005506 58339757 66674008 100011012 116679514 133348016 175019271 200022024 233359028 266696032 350038542 400044048 466718056 700077084 800088096 933436112 1400154168 1866872224 2800308336 5600616672