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5270940864 = 26347145253
BaseRepresentation
bin1001110100010110…
…00010110011000000
3111121100012112120000
410322023002303000
541243330101424
62231010320000
7244422154350
oct47213026300
914540175500
105270940864
112265343982
121031289000
13660023a27
1438006cb60
1520cb253c9
hex13a2c2cc0

5270940864 has 140 divisors (see below), whose sum is σ = 17856945744. Its totient is φ = 1505972736.

The previous prime is 5270940823. The next prime is 5270940869. The reversal of 5270940864 is 4680490725.

It is a happy number.

5270940864 is a `hidden beast` number, since 527 + 0 + 9 + 40 + 86 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5270940869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36339 + ... + 108914.

Almost surely, 25270940864 is an apocalyptic number.

5270940864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5270940864 is an abundant number, since it is smaller than the sum of its proper divisors (12586004880).

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

5270940864 is a wasteful number, since it uses less digits than its factorization.

5270940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145284 (or 145265 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5270940864 is about 72601.2456091492. The cubic root of 5270940864 is about 1740.3210822453.

The spelling of 5270940864 in words is "five billion, two hundred seventy million, nine hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 145253 290506 435759 581012 871518 1016771 1162024 1307277 1743036 2033542 2324048 2614554 3050313 3486072 3921831 4067084 4648096 5229108 6100626 6972144 7843662 8134168 9150939 9296192 10458216 11765493 12201252 13944288 15687324 16268336 18301878 20916432 23530986 24402504 27452817 27888576 31374648 32536672 36603756 41832864 47061972 48805008 54905634 62749296 65073344 73207512 82358451 83665728 94123944 97610016 109811268 125498592 146415024 164716902 188247888 195220032 219622536 250997184 292830048 329433804 376495776 439245072 585660096 658867608 752991552 878490144 1317735216 1756980288 2635470432 5270940864