Search a number
-
+
116379436500 = 223353192319727
BaseRepresentation
bin110110001100011000…
…0010100010111010100
3102010101200102221002000
41230120300110113110
53401321113432000
6125244115115300
711256663613455
oct1543060242724
9363350387060
10116379436500
11453a1181188
121a67b2a2b30
13ac890874c2
1458c056312c
1530621d1000
hex1b18c145d4

116379436500 has 384 divisors, whose sum is σ = 413625139200. Its totient is φ = 28121385600.

The previous prime is 116379436471. The next prime is 116379436567. The reversal of 116379436500 is 5634973611.

It is a happy number.

116379436500 is a `hidden beast` number, since 1 + 1 + 637 + 9 + 4 + 3 + 6 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5889637 + ... + 5909363.

It is an arithmetic number, because the mean of its divisors is an integer number (1077148800).

Almost surely, 2116379436500 is an apocalyptic number.

116379436500 is a gapful number since it is divisible by the number (10) 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 116379436500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206812569600).

116379436500 is an abundant number, since it is smaller than the sum of its proper divisors (297245702700).

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

116379436500 is a wasteful number, since it uses less digits than its factorization.

116379436500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 116379436500 in words is "one hundred sixteen billion, three hundred seventy-nine million, four hundred thirty-six thousand, five hundred".