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117448621920 = 25335729199673
BaseRepresentation
bin110110101100001111…
…0111011111101100000
3102020011012022011202000
41231120132323331200
53411013321400140
6125542151324000
711325325546230
oct1553036737540
9366135264660
10117448621920
114589a759aa3
121a919380600
13b0c97394b6
14598255dcc0
1530c5ecba30
hex1b587bbf60

117448621920 has 768 divisors, whose sum is σ = 489162240000. Its totient is φ = 25751126016.

The previous prime is 117448621919. The next prime is 117448621933. The reversal of 117448621920 is 29126844711.

117448621920 is a `hidden beast` number, since 1 + 17 + 4 + 4 + 8 + 621 + 9 + 2 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174514704 + ... + 174515376.

It is an arithmetic number, because the mean of its divisors is an integer number (636930000).

Almost surely, 2117448621920 is an apocalyptic number.

117448621920 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 117448621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244581120000).

117448621920 is an abundant number, since it is smaller than the sum of its proper divisors (371713618080).

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

117448621920 is a wasteful number, since it uses less digits than its factorization.

117448621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 117448621920 in words is "one hundred seventeen billion, four hundred forty-eight million, six hundred twenty-one thousand, nine hundred twenty".