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116405093376 = 21032111388327
BaseRepresentation
bin110110001101001001…
…0001100010000000000
3102010110110201102200200
41230122102030100000
53401344200442001
6125250433045200
711260424653035
oct1543222142000
9363413642620
10116405093376
1145404705610
121a6879b6800
13ac9149b6a0
1458c3b2138c
15306459d086
hex1b1a48c400

116405093376 has 264 divisors, whose sum is σ = 394883396544. Its totient is φ = 32560496640.

The previous prime is 116405093317. The next prime is 116405093411. The reversal of 116405093376 is 673390504611.

It is a happy number.

116405093376 is a `hidden beast` number, since 1 + 1 + 6 + 40 + 509 + 33 + 76 = 666.

116405093376 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273725 + ... + 1362051.

Almost surely, 2116405093376 is an apocalyptic number.

116405093376 is a gapful number since it is divisible by the number (16) 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 116405093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197441698272).

116405093376 is an abundant number, since it is smaller than the sum of its proper divisors (278478303168).

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

116405093376 is a wasteful number, since it uses less digits than its factorization.

116405093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88377 (or 88356 counting only the distinct ones).

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

Adding to 116405093376 its reverse (673390504611), we get a palindrome (789795597987).

The spelling of 116405093376 in words is "one hundred sixteen billion, four hundred five million, ninety-three thousand, three hundred seventy-six".