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5107688152 = 237474993889
BaseRepresentation
bin1001100000111000…
…10010001011011000
3111011222000102221021
410300130102023120
540430032010102
62202455252224
7240400430050
oct46034221330
914158012837
105107688152
11219117a786
12ba667a074
136352648a8
143664d4560
151ed629137
hex1307122d8

5107688152 has 64 divisors (see below), whose sum is σ = 11203200000. Its totient is φ = 2137591296.

The previous prime is 5107688143. The next prime is 5107688203. The reversal of 5107688152 is 2518867015.

It is a junction number, because it is equal to n+sod(n) for n = 5107688099 and 5107688108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311424 + ... + 1315312.

It is an arithmetic number, because the mean of its divisors is an integer number (175050000).

Almost surely, 25107688152 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 5107688152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601600000).

5107688152 is an abundant number, since it is smaller than the sum of its proper divisors (6095511848).

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

5107688152 is a wasteful number, since it uses less digits than its factorization.

5107688152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 43.

The square root of 5107688152 is about 71468.0918452424. The cubic root of 5107688152 is about 1722.1651289985.

The spelling of 5107688152 in words is "five billion, one hundred seven million, six hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 499 658 998 1316 1996 2632 3493 3889 3992 6986 7778 13972 15556 23453 27223 27944 31112 46906 54446 93812 108892 164171 182783 187624 217784 328342 365566 656684 731132 1279481 1313368 1462264 1940611 2558962 3881222 5117924 7762444 10235848 13584277 15524888 27168554 54337108 91208717 108674216 182417434 364834868 638461019 729669736 1276922038 2553844076 5107688152