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5296677984 = 25321310912979
BaseRepresentation
bin1001110111011010…
…01110010001100000
3111200010122010020200
410323231032101200
541321422143414
62233330105200
7245154006603
oct47355162140
914603563220
105296677984
112278922624
121039a1b200
136654655b0
1438364c33a
1521000b109
hex13bb4e460

5296677984 has 144 divisors (see below), whose sum is σ = 16371154800. Its totient is φ = 1614670848.

The previous prime is 5296677979. The next prime is 5296677989. The reversal of 5296677984 is 4897766925.

It is an interprime number because it is at equal distance from previous prime (5296677979) and next prime (5296677989).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296677989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401607 + ... + 414585.

It is an arithmetic number, because the mean of its divisors is an integer number (113688575).

Almost surely, 25296677984 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 5296677984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185577400).

5296677984 is an abundant number, since it is smaller than the sum of its proper divisors (11074476816).

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

5296677984 is a wasteful number, since it uses less digits than its factorization.

5296677984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117 (or 13106 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 5296677984 is about 72778.2796169297. The cubic root of 5296677984 is about 1743.1490496950.

The spelling of 5296677984 in words is "five billion, two hundred ninety-six million, six hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 109 117 144 156 208 218 234 288 312 327 416 436 468 624 654 872 936 981 1248 1308 1417 1744 1872 1962 2616 2834 3488 3744 3924 4251 5232 5668 7848 8502 10464 11336 12753 12979 15696 17004 22672 25506 25958 31392 34008 38937 45344 51012 51916 68016 77874 102024 103832 116811 136032 155748 168727 204048 207664 233622 311496 337454 408096 415328 467244 506181 622992 674908 934488 1012362 1245984 1349816 1414711 1518543 1868976 2024724 2699632 2829422 3037086 3737952 4049448 4244133 5399264 5658844 6074172 8098896 8488266 11317688 12148344 12732399 16197792 16976532 18391243 22635376 24296688 25464798 33953064 36782486 45270752 48593376 50929596 55173729 67906128 73564972 101859192 110347458 135812256 147129944 165521187 203718384 220694916 294259888 331042374 407436768 441389832 588519776 662084748 882779664 1324169496 1765559328 2648338992 5296677984