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5107830952 = 237219798681
BaseRepresentation
bin1001100000111001…
…10101000010101000
3111011222021200211011
410300130311002220
540430101042302
62202502313304
7240401563300
oct46034650250
914158250734
105107830952
112191267aa4
12ba6728834
136352b48a3
14366530600
151ed6565d7
hex1307350a8

5107830952 has 96 divisors (see below), whose sum is σ = 11876976000. Its totient is φ = 2047368960.

The previous prime is 5107830941. The next prime is 5107830967. The reversal of 5107830952 is 2590387015.

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 23 ways as a sum of consecutive naturals, for example, 584052 + ... + 592732.

It is an arithmetic number, because the mean of its divisors is an integer number (123718500).

Almost surely, 25107830952 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 5107830952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938488000).

5107830952 is an abundant number, since it is smaller than the sum of its proper divisors (6769145048).

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

5107830952 is a wasteful number, since it uses less digits than its factorization.

5107830952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5107830952 is about 71469.0908855010. The cubic root of 5107830952 is about 1722.1811781960.

The spelling of 5107830952 in words is "five billion, one hundred seven million, eight hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 79 98 133 152 158 196 266 316 392 532 553 632 931 1064 1106 1501 1862 2212 3002 3724 3871 4424 6004 7448 7742 8681 10507 12008 15484 17362 21014 30968 34724 42028 60767 69448 73549 84056 121534 147098 164939 243068 294196 329878 425369 486136 588392 659756 685799 850738 1154573 1319512 1371598 1701476 2309146 2743196 3402952 4618292 4800593 5486392 8082011 9236584 9601186 13030181 16164022 19202372 26060362 32328044 33604151 38404744 52120724 64656088 67208302 91211267 104241448 134416604 182422534 268833208 364845068 638478869 729690136 1276957738 2553915476 5107830952