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5206067856 = 2433111318363
BaseRepresentation
bin1001101100100111…
…00100101010010000
3111102211010122112000
410312103210222100
541130223132411
62220332034000
7243003563253
oct46623445220
914384118460
105206067856
112231764920
121013602900
1364c75ba32
143755c309a
152070ad956
hex1364e4a90

5206067856 has 160 divisors (see below), whose sum is σ = 16428234240. Its totient is φ = 1565366400.

The previous prime is 5206067843. The next prime is 5206067903. The reversal of 5206067856 is 6587606025.

5206067856 is a `hidden beast` number, since 520 + 6 + 0 + 6 + 78 + 56 = 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, 618331 + ... + 626693.

It is an arithmetic number, because the mean of its divisors is an integer number (102676464).

Almost surely, 25206067856 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 5206067856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214117120).

5206067856 is an abundant number, since it is smaller than the sum of its proper divisors (11222166384).

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

5206067856 is a wasteful number, since it uses less digits than its factorization.

5206067856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5206067856 is about 72153.0862541582. The cubic root of 5206067856 is about 1733.1518223476.

The spelling of 5206067856 in words is "five billion, two hundred six million, sixty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 131 132 144 176 198 216 262 264 297 393 396 432 524 528 594 786 792 1048 1179 1188 1441 1572 1584 2096 2358 2376 2882 3144 3537 4323 4716 4752 5764 6288 7074 8363 8646 9432 11528 12969 14148 16726 17292 18864 23056 25089 25938 28296 33452 34584 38907 50178 51876 56592 66904 69168 75267 77814 91993 100356 103752 133808 150534 155628 183986 200712 207504 225801 275979 301068 311256 367972 401424 451602 551958 602136 622512 735944 827937 903204 1095553 1103916 1204272 1471888 1655874 1806408 2191106 2207832 2483811 3286659 3311748 3612816 4382212 4415664 4967622 6573318 6623496 8764424 9859977 9935244 12051083 13146636 13246992 17528848 19719954 19870488 24102166 26293272 29579931 36153249 39439908 39740976 48204332 52586544 59159862 72306498 78879816 96408664 108459747 118319724 144612996 157759632 192817328 216919494 236639448 289225992 325379241 433838988 473278896 578451984 650758482 867677976 1301516964 1735355952 2603033928 5206067856