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116780656512 = 27313316189139
BaseRepresentation
bin110110011000010101…
…0110110011110000000
3102011102122102000110110
41230300222312132000
53403131322002022
6125352010431320
711302635126222
oct1546052663600
9364378360413
10116780656512
11455876aa773
121a771732540
13b0212351b0
14591b964412
15308753600c
hex1b30ab6780

116780656512 has 512 divisors, whose sum is σ = 356977152000. Its totient is φ = 33575731200.

The previous prime is 116780656471. The next prime is 116780656519. The reversal of 116780656512 is 215656087611.

It is a super-2 number, since 2×1167806565122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116780656519) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 840148539 + ... + 840148677.

It is an arithmetic number, because the mean of its divisors is an integer number (697221000).

Almost surely, 2116780656512 is an apocalyptic number.

116780656512 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 116780656512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

116780656512 is an abundant number, since it is smaller than the sum of its proper divisors (240196495488).

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

116780656512 is a wasteful number, since it uses less digits than its factorization.

116780656512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 116780656512 in words is "one hundred sixteen billion, seven hundred eighty million, six hundred fifty-six thousand, five hundred twelve".