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116974368000 = 28355372307
BaseRepresentation
bin110110011110000110…
…1110011010100000000
3102011221010220120200000
41230330031303110000
53404030414234000
6125423130400000
711310506502600
oct1547415632400
9364833816600
10116974368000
1145676a88006
121a806590000
13b0523ca089
14593958ac00
15309954c000
hex1b3c373500

116974368000 has 1296 divisors, whose sum is σ = 509415850944. Its totient is φ = 26649907200.

The previous prime is 116974367999. The next prime is 116974368011. The reversal of 116974368000 is 863479611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381023847 + ... + 381024153.

Almost surely, 2116974368000 is an apocalyptic number.

116974368000 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 116974368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254707925472).

116974368000 is an abundant number, since it is smaller than the sum of its proper divisors (392441482944).

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

116974368000 is an frugal number, since it uses more digits than its factorization.

116974368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 116974368000 in words is "one hundred sixteen billion, nine hundred seventy-four million, three hundred sixty-eight thousand".