Search a number
-
+
5218966512 = 2433191913329
BaseRepresentation
bin1001101110001001…
…10001101111110000
3111110201101222011000
410313010301233300
541142023412022
62221512322000
7243221324544
oct46704615760
914421358130
105218966512
112238a74871
1210179a3300
13652326a86
143771bda24
152082aa6ac
hex137131bf0

5218966512 has 160 divisors (see below), whose sum is σ = 15856128000. Its totient is φ = 1638973440.

The previous prime is 5218966499. The next prime is 5218966549. The reversal of 5218966512 is 2156698125.

5218966512 is a `hidden beast` number, since 52 + 1 + 89 + 6 + 6 + 512 = 666.

It is a super-2 number, since 2×52189665122 = 54475222906754892288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566064 + ... + 1569392.

It is an arithmetic number, because the mean of its divisors is an integer number (99100800).

Almost surely, 25218966512 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 5218966512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928064000).

5218966512 is an abundant number, since it is smaller than the sum of its proper divisors (10637161488).

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

5218966512 is a wasteful number, since it uses less digits than its factorization.

5218966512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3544 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 5218966512 is about 72242.4149098021. The cubic root of 5218966512 is about 1734.5820055155.

The spelling of 5218966512 in words is "five billion, two hundred eighteen million, nine hundred sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 191 216 228 304 342 382 432 456 513 573 684 764 912 1026 1146 1368 1528 1719 2052 2292 2736 3056 3329 3438 3629 4104 4584 5157 6658 6876 7258 8208 9168 9987 10314 10887 13316 13752 14516 19974 20628 21774 26632 27504 29032 29961 32661 39948 41256 43548 53264 58064 59922 63251 65322 79896 82512 87096 89883 97983 119844 126502 130644 159792 174192 179766 189753 195966 239688 253004 261288 359532 379506 391932 479376 506008 522576 569259 635839 719064 759012 783864 1012016 1138518 1271678 1438128 1518024 1567728 1707777 1907517 2277036 2543356 3036048 3415554 3815034 4554072 5086712 5722551 6831108 7630068 9108144 10173424 11445102 12080941 13662216 15260136 17167653 22890204 24161882 27324432 30520272 34335306 36242823 45780408 48323764 68670612 72485646 91560816 96647528 108728469 137341224 144971292 193295056 217456938 274682448 289942584 326185407 434913876 579885168 652370814 869827752 1304741628 1739655504 2609483256 5218966512