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115653681000 = 2332531113731231
BaseRepresentation
bin110101110110101111…
…1110001111101101000
3102001112002210201200200
41223231133301331220
53343324320243000
6125044111432200
711233002032304
oct1535537617550
9361462721620
10115653681000
1145059540350
121a4b8225660
13aba18cb090
145852002d04
15301d622500
hex1aed7f1f68

115653681000 has 768 divisors, whose sum is σ = 465919534080. Its totient is φ = 25505280000.

The previous prime is 115653680971. The next prime is 115653681001. The reversal of 115653681000 is 186356511.

115653681000 is a `hidden beast` number, since 1 + 15 + 6 + 536 + 8 + 100 + 0 = 666.

It is a super-2 number, since 2×1156536810002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (115653681001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93950385 + ... + 93951615.

It is an arithmetic number, because the mean of its divisors is an integer number (606666060).

Almost surely, 2115653681000 is an apocalyptic number.

115653681000 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 115653681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232959767040).

115653681000 is an abundant number, since it is smaller than the sum of its proper divisors (350265853080).

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

115653681000 is a wasteful number, since it uses less digits than its factorization.

115653681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115653681000 in words is "one hundred fifteen billion, six hundred fifty-three million, six hundred eighty-one thousand".