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5216268618 = 235112107829
BaseRepresentation
bin1001101101110100…
…11111000101001010
3111110112022220100000
410312322133011022
541140331043433
62221334423430
7243156360141
oct46672370512
914415286300
105216268618
1122374a1900
121016b01b76
136518c0aa2
14376aba758
15207e26113
hex136e9f14a

5216268618 has 144 divisors (see below), whose sum is σ = 13018955040. Its totient is φ = 1564025760.

The previous prime is 5216268611. The next prime is 5216268619. The reversal of 5216268618 is 8168626125.

5216268618 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 26 + 8 + 618 = 666.

It is not an unprimeable number, because it can be changed into a prime (5216268611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6291828 + ... + 6292656.

It is an arithmetic number, because the mean of its divisors is an integer number (90409410).

Almost surely, 25216268618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5216268618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509477520).

5216268618 is an abundant number, since it is smaller than the sum of its proper divisors (7802686422).

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

5216268618 is a wasteful number, since it uses less digits than its factorization.

5216268618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 952 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 5216268618 is about 72223.7399890092. The cubic root of 5216268618 is about 1734.2830622295.

The spelling of 5216268618 in words is "five billion, two hundred sixteen million, two hundred sixty-eight thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 121 162 198 214 242 243 297 321 363 486 594 642 726 829 891 963 1089 1177 1658 1782 1926 2178 2354 2487 2673 2889 3267 3531 4974 5346 5778 6534 7062 7461 8667 9119 9801 10593 12947 14922 17334 18238 19602 21186 22383 25894 26001 27357 29403 31779 38841 44766 52002 54714 58806 63558 67149 77682 82071 88703 95337 100309 116523 134298 164142 177406 190674 200618 201447 233046 246213 266109 286011 300927 349569 402894 492426 532218 572022 601854 699138 738639 798327 902781 975733 1048707 1477278 1596654 1805562 1951466 2097414 2215917 2394981 2708343 2927199 3146121 4431834 4789962 5416686 5854398 6292242 7184943 8125029 8781597 10733063 14369886 16250058 17563194 21466126 21554829 24375087 26344791 32199189 43109658 48750174 52689582 64398378 79034373 96597567 158068746 193195134 237103119 289792701 474206238 579585402 869378103 1738756206 2608134309 5216268618