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5051116512 = 2532131797537
BaseRepresentation
bin1001011010001000…
…11110101111100000
3111001000120022020100
410231010132233200
540321041212022
62153114542400
7236112532131
oct45504365740
914030508210
105051116512
112162250662
12b8b737a00
13626618250
1435cba9c88
151e86a21ac
hex12d11ebe0

5051116512 has 144 divisors (see below), whose sum is σ = 15557527440. Its totient is φ = 1545302016.

The previous prime is 5051116507. The next prime is 5051116519. The reversal of 5051116512 is 2156111505.

5051116512 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 1 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×50511165122 = 51027556035598092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051116519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666408 + ... + 673944.

It is an arithmetic number, because the mean of its divisors is an integer number (108038385).

Almost surely, 25051116512 is an apocalyptic number.

5051116512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5051116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778763720).

5051116512 is an abundant number, since it is smaller than the sum of its proper divisors (10506410928).

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

5051116512 is a wasteful number, since it uses less digits than its factorization.

5051116512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The square root of 5051116512 is about 71071.2073346162. The cubic root of 5051116512 is about 1715.7834013539.

The spelling of 5051116512 in words is "five billion, fifty-one million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 179 208 234 288 312 358 416 468 537 624 716 936 1074 1248 1432 1611 1872 2148 2327 2864 3222 3744 4296 4654 5728 6444 6981 7537 8592 9308 12888 13962 15074 17184 18616 20943 22611 25776 27924 30148 37232 41886 45222 51552 55848 60296 67833 74464 83772 90444 97981 111696 120592 135666 167544 180888 195962 223392 241184 271332 293943 335088 361776 391924 542664 587886 670176 723552 783848 881829 1085328 1175772 1349123 1567696 1763658 2170656 2351544 2698246 3135392 3527316 4047369 4703088 5396492 7054632 8094738 9406176 10792984 12142107 14109264 16189476 17538599 21585968 24284214 28218528 32378952 35077198 43171936 48568428 52615797 64757904 70154396 97136856 105231594 129515808 140308792 157847391 194273712 210463188 280617584 315694782 388547424 420926376 561235168 631389564 841852752 1262779128 1683705504 2525558256 5051116512