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5252763406896 = 243341359826087
BaseRepresentation
bin100110001110000000100…
…0110001101001000110000
3200121011022010001121011000
41030130001012031020300
51142030124413010041
615101030341322000
71051333242161565
oct114340106151060
920534263047130
105252763406896
111745759005265
1270a02ba06300
132c144480a465
141423411b486c
1591982e47bb6
hex4c70118d230

5252763406896 has 160 divisors (see below), whose sum is σ = 15488158694400. Its totient is φ = 1703455418880.

The previous prime is 5252763406873. The next prime is 5252763406909. The reversal of 5252763406896 is 6986043672525.

5252763406896 is a `hidden beast` number, since 5 + 2 + 527 + 6 + 3 + 40 + 68 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5945565 + ... + 6771651.

It is an arithmetic number, because the mean of its divisors is an integer number (96800991840).

Almost surely, 25252763406896 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 5252763406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744079347200).

5252763406896 is an abundant number, since it is smaller than the sum of its proper divisors (10235395287504).

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

5252763406896 is a wasteful number, since it uses less digits than its factorization.

5252763406896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826504 (or 826492 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5252763406896 in words is "five trillion, two hundred fifty-two billion, seven hundred sixty-three million, four hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 359 369 432 492 656 718 738 984 1077 1107 1436 1476 1968 2154 2214 2872 2952 3231 4308 4428 5744 5904 6462 8616 8856 9693 12924 14719 17232 17712 19386 25848 29438 38772 44157 51696 58876 77544 88314 117752 132471 155088 176628 235504 264942 353256 397413 529884 706512 794826 826087 1059768 1589652 1652174 2119536 2478261 3179304 3304348 4956522 6358608 6608696 7434783 9913044 13217392 14869566 19826088 22304349 29739132 33869567 39652176 44608698 59478264 67739134 89217396 101608701 118956528 135478268 178434792 203217402 270956536 296565233 304826103 356869584 406434804 541913072 593130466 609652206 812869608 889695699 914478309 1186260932 1219304412 1625739216 1779391398 1828956618 2372521864 2438608824 2669087097 3558782796 3657913236 4745043728 4877217648 5338174194 7117565592 7315826472 8007261291 10676348388 12159174553 14235131184 14631652944 16014522582 21352696776 24318349106 32029045164 36477523659 42705393552 48636698212 64058090328 72955047318 97273396424 109432570977 128116180656 145910094636 194546792848 218865141954 291820189272 328297712931 437730283908 583640378544 656595425862 875460567816 1313190851724 1750921135632 2626381703448 5252763406896