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5296964680 = 235727337021
BaseRepresentation
bin1001110111011100…
…10100010001001000
3111200011011200112001
410323232110101020
541322010332210
62233340200344
7245156312500
oct47356242110
914604150461
105296964680
112278aa8a67
121039b390b4
13665535c37
143836c4a00
1521006603a
hex13bb94448

5296964680 has 96 divisors (see below), whose sum is σ = 14054291640. Its totient is φ = 1791175680.

The previous prime is 5296964677. The next prime is 5296964683. The reversal of 5296964680 is 864696925.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5296964677) and next prime (5296964683).

It can be written as a sum of positive squares in 4 ways, for example, as 3248316036 + 2048648644 = 56994^2 + 45262^2 .

It is not an unprimeable number, because it can be changed into a prime (5296964683) 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, 124570 + ... + 161590.

Almost surely, 25296964680 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 5296964680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027145820).

5296964680 is an abundant number, since it is smaller than the sum of its proper divisors (8757326960).

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

5296964680 is a wasteful number, since it uses less digits than its factorization.

5296964680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37119 (or 37108 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The square root of 5296964680 is about 72780.2492438711. The cubic root of 5296964680 is about 1743.1804999011.

It can be divided in two parts, 52969 and 64680, that added together give a 6-th power (117649 = 76).

The spelling of 5296964680 in words is "five billion, two hundred ninety-six million, nine hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 365 392 490 511 584 730 980 1022 1460 1960 2044 2555 2920 3577 4088 5110 7154 10220 14308 17885 20440 28616 35770 37021 71540 74042 143080 148084 185105 259147 296168 370210 518294 740420 1036588 1295735 1480840 1814029 2073176 2591470 2702533 3628058 5182940 5405066 7256116 9070145 10365880 10810132 13512665 14512232 18140290 18917731 21620264 27025330 36280580 37835462 54050660 72561160 75670924 94588655 108101320 132424117 151341848 189177310 264848234 378354620 529696468 662120585 756709240 1059392936 1324241170 2648482340 5296964680