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116780457024 = 26337112731093
BaseRepresentation
bin110110011000010101…
…0000101110001000000
3102011102122000212211000
41230300222011301000
53403131244111044
6125352002252000
711302633335510
oct1546052056100
9364378025730
10116780457024
1145587583900
121a771657000
13b02119545a
14591b911840
1530874e6d69
hex1b30a85c40

116780457024 has 672 divisors, whose sum is σ = 437576894720. Its totient is φ = 29889699840.

The previous prime is 116780457023. The next prime is 116780457029. The reversal of 116780457024 is 420754087611.

116780457024 is a `hidden beast` number, since 1 + 1 + 6 + 78 + 0 + 4 + 570 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (116780457023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106843422 + ... + 106844514.

Almost surely, 2116780457024 is an apocalyptic number.

116780457024 is a gapful number since it is divisible by the number (14) 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 116780457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218788447360).

116780457024 is an abundant number, since it is smaller than the sum of its proper divisors (320796437696).

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

116780457024 is a wasteful number, since it uses less digits than its factorization.

116780457024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 116780457024 in words is "one hundred sixteen billion, seven hundred eighty million, four hundred fifty-seven thousand, twenty-four".