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116210385720 = 23365111329312
BaseRepresentation
bin110110000111010101…
…1011100001100111000
3102002221220100021000000
41230032223130030320
53400444324320340
6125215235513000
711252541660162
oct1541653341470
9362856307000
10116210385720
11453148078a0
121a632758760
13ac60048260
1458a5d19932
15305243bd30
hex1b0eadc338

116210385720 has 1344 divisors, whose sum is σ = 492314306400. Its totient is φ = 24298444800.

The previous prime is 116210385679. The next prime is 116210385737. The reversal of 116210385720 is 27583012611.

116210385720 is a `hidden beast` number, since 1 + 1 + 621 + 0 + 3 + 8 + 5 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3748722105 + ... + 3748722135.

Almost surely, 2116210385720 is an apocalyptic number.

116210385720 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 116210385720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246157153200).

116210385720 is an abundant number, since it is smaller than the sum of its proper divisors (376103920680).

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

116210385720 is a wasteful number, since it uses less digits than its factorization.

116210385720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 116210385720 in words is "one hundred sixteen billion, two hundred ten million, three hundred eighty-five thousand, seven hundred twenty".