Search a number
-
+
5112981900 = 223352133137127
BaseRepresentation
bin1001100001100000…
…11110100110001100
3111012022222101121000
410300300132212030
540432410410100
62203204540300
7240463425525
oct46060364614
914168871530
105112981900
112194165a84
12ba83b1690
136363992a0
143670b184c
151edd22900
hex130c1e98c

5112981900 has 576 divisors, whose sum is σ = 18914344960. Its totient is φ = 1175731200.

The previous prime is 5112981893. The next prime is 5112981901. The reversal of 5112981900 is 91892115.

It is a super-2 number, since 2×51129819002 = 52285167819455220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112981901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40259637 + ... + 40259763.

Almost surely, 25112981900 is an apocalyptic number.

5112981900 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 5112981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457172480).

5112981900 is an abundant number, since it is smaller than the sum of its proper divisors (13801363060).

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

5112981900 is a wasteful number, since it uses less digits than its factorization.

5112981900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 5112981900 is about 71505.1179986440. The cubic root of 5112981900 is about 1722.7598899514.

The spelling of 5112981900 in words is "five billion, one hundred twelve million, nine hundred eighty-one thousand, nine hundred".