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116214497280 = 2153657139
BaseRepresentation
bin110110000111011101…
…1001000000000000000
3102002222012002011000000
41230032323020000000
53401001402403110
6125215504000000
711252621633220
oct1541673100000
9362865064000
10116214497280
1145317065982
121a634000000
13ac60b5782b
1458a66aa080
1530529a01c0
hex1b0eec8000

116214497280 has 896 divisors, whose sum is σ = 481351953600. Its totient is φ = 26372210688.

The previous prime is 116214497263. The next prime is 116214497303. The reversal of 116214497280 is 82794412611.

116214497280 is a `hidden beast` number, since 1 + 1 + 62 + 1 + 449 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 836075451 + ... + 836075589.

Almost surely, 2116214497280 is an apocalyptic number.

116214497280 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 116214497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240675976800).

116214497280 is an abundant number, since it is smaller than the sum of its proper divisors (365137456320).

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

116214497280 is an frugal number, since it uses more digits than its factorization.

116214497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 116214497280 in words is "one hundred sixteen billion, two hundred fourteen million, four hundred ninety-seven thousand, two hundred eighty".