Search a number
-
+
5116919000 = 235346710957
BaseRepresentation
bin1001100001111110…
…11111110011011000
3111012121101102021112
410300333133303120
540434412402000
62203425155452
7240542044124
oct46077376330
914177342245
105116919000
112196404a86
12ba978bb88
1363714732b
14367818584
151ee34e235
hex130fdfcd8

5116919000 has 64 divisors (see below), whose sum is σ = 12000324960. Its totient is φ = 2042198400.

The previous prime is 5116918957. The next prime is 5116919021. The reversal of 5116919000 is 9196115.

It is a happy number.

It is a super-2 number, since 2×51169190002 = 52365720105122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461522 + ... + 472478.

Almost surely, 25116919000 is an apocalyptic number.

5116919000 is a gapful number since it is divisible by the number (50) 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 5116919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000162480).

5116919000 is an abundant number, since it is smaller than the sum of its proper divisors (6883405960).

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

5116919000 is a wasteful number, since it uses less digits than its factorization.

5116919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 32.

The square root of 5116919000 is about 71532.6428981902. The cubic root of 5116919000 is about 1723.2019632142.

The spelling of 5116919000 in words is "five billion, one hundred sixteen million, nine hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 467 500 934 1000 1868 2335 3736 4670 9340 10957 11675 18680 21914 23350 43828 46700 54785 58375 87656 93400 109570 116750 219140 233500 273925 438280 467000 547850 1095700 1369625 2191400 2739250 5116919 5478500 10233838 10957000 20467676 25584595 40935352 51169190 102338380 127922975 204676760 255845950 511691900 639614875 1023383800 1279229750 2558459500 5116919000