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116202339072 = 283341273137
BaseRepresentation
bin110110000111000110…
…0101111101100000000
3102002221100012110002000
41230032030233230000
53400440244322242
6125214351224000
711252413404441
oct1541614575400
9362840173060
10116202339072
1145310211276
121a62bb18000
13ac5b48b821
1458a4c232c8
15305189ca4c
hex1b0e32fb00

116202339072 has 432 divisors, whose sum is σ = 359647441440. Its totient is φ = 36999659520.

The previous prime is 116202339041. The next prime is 116202339103. The reversal of 116202339072 is 270933202611.

116202339072 is a `hidden beast` number, since 1 + 1 + 620 + 23 + 3 + 9 + 0 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (116202339041) and next prime (116202339103).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848192188 + ... + 848192324.

Almost surely, 2116202339072 is an apocalyptic number.

116202339072 is a gapful number since it is divisible by the number (12) 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 116202339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179823720720).

116202339072 is an abundant number, since it is smaller than the sum of its proper divisors (243445102368).

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

116202339072 is an equidigital number, since it uses as much as digits as its factorization.

116202339072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 116202339072 in words is "one hundred sixteen billion, two hundred two million, three hundred thirty-nine thousand, seventy-two".