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116229466080 = 2535572132192
BaseRepresentation
bin110110000111111010…
…0001110011111100000
3102010000020020122100000
41230033310032133200
53401014220403310
6125221200500000
711253163106100
oct1541764163740
9363006218300
10116229466080
114532455a192
121a63901a600
13ac63c98c00
1458a8685200
153053e5a4c0
hex1b0fd0e7e0

116229466080 has 1944 divisors, whose sum is σ = 546819639912. Its totient is φ = 23232448512.

The previous prime is 116229466049. The next prime is 116229466103. The reversal of 116229466080 is 80664922611.

116229466080 is a `hidden beast` number, since 1 + 16 + 2 + 29 + 4 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 323 ways as a sum of consecutive naturals, for example, 6117340311 + ... + 6117340329.

It is an arithmetic number, because the mean of its divisors is an integer number (281285823).

Almost surely, 2116229466080 is an apocalyptic number.

116229466080 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 116229466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273409819956).

116229466080 is an abundant number, since it is smaller than the sum of its proper divisors (430590173832).

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

116229466080 is a wasteful number, since it uses less digits than its factorization.

116229466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 116229466080 in words is "one hundred sixteen billion, two hundred twenty-nine million, four hundred sixty-six thousand, eighty".