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5107496992 = 251317370969
BaseRepresentation
bin1001100000110111…
…00011100000100000
3111011221122201201021
410300123203200200
540430004400432
62202451215224
7240366002533
oct46033434040
914157581637
105107496992
11219105a0a4
12ba65a7514
136351c8890
14366484a1a
151ed5dc697
hex1306e3820

5107496992 has 48 divisors (see below), whose sum is σ = 10891623960. Its totient is φ = 2343647232.

The previous prime is 5107496969. The next prime is 5107497013. The reversal of 5107496992 is 2996947015.

It can be written as a sum of positive squares in 4 ways, for example, as 3481472016 + 1626024976 = 59004^2 + 40324^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36484 + ... + 107452.

Almost surely, 25107496992 is an apocalyptic number.

5107496992 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 5107496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445811980).

5107496992 is an abundant number, since it is smaller than the sum of its proper divisors (5784126968).

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

5107496992 is a wasteful number, since it uses less digits than its factorization.

5107496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71165 (or 71157 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The square root of 5107496992 is about 71466.7544526824. The cubic root of 5107496992 is about 1722.1436441842.

The spelling of 5107496992 in words is "five billion, one hundred seven million, four hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 17992 35984 70969 71968 141938 283876 567752 922597 1135504 1845194 2271008 3690388 7380776 12277637 14761552 24555274 29523104 49110548 98221096 159609281 196442192 319218562 392884384 638437124 1276874248 2553748496 5107496992