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5056605344 = 25753974391
BaseRepresentation
bin1001011010110010…
…11010110010100000
3111001101220011111102
410231121122302200
540323442332334
62153432333532
7236210302430
oct45531326240
914041804442
105056605344
11216535a48a
12b915442a8
136277ba68b
1435d7d82c0
151e8dd867e
hex12d65aca0

5056605344 has 96 divisors (see below), whose sum is σ = 11714201856. Its totient is φ = 2103828480.

The previous prime is 5056605293. The next prime is 5056605349. The reversal of 5056605344 is 4435066505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5056605298 and 5056605307.

It is not an unprimeable number, because it can be changed into a prime (5056605349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149389 + ... + 1153779.

It is an arithmetic number, because the mean of its divisors is an integer number (122022936).

Almost surely, 25056605344 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 5056605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857100928).

5056605344 is an abundant number, since it is smaller than the sum of its proper divisors (6657596512).

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

5056605344 is a wasteful number, since it uses less digits than its factorization.

5056605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 5056605344 is about 71109.8118686866. The cubic root of 5056605344 is about 1716.4046658224.

The spelling of 5056605344 in words is "five billion, fifty-six million, six hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 97 106 112 194 212 224 371 388 424 679 742 776 848 1358 1484 1552 1696 2716 2968 3104 4391 5141 5432 5936 8782 10282 10864 11872 17564 20564 21728 30737 35128 35987 41128 61474 70256 71974 82256 122948 140512 143948 164512 232723 245896 287896 425927 465446 491792 575792 851854 930892 983584 1151584 1629061 1703708 1861784 2981489 3258122 3407416 3723568 5962978 6516244 6814832 7447136 11925956 13032488 13629664 22574131 23851912 26064976 45148262 47703824 52129952 90296524 95407648 158018917 180593048 316037834 361186096 632075668 722372192 1264151336 2528302672 5056605344