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117253471104 = 2733711499883
BaseRepresentation
bin110110100110011011…
…0011111101110000000
3102012122121002111011000
41231030312133232000
53410113342033404
6125510540452000
711320436026350
oct1551466375600
9365577074130
10117253471104
11457aa589330
121a883b4a000
13b09818c443
145964680b60
1530b3cce339
hex1b4cd9fb80

117253471104 has 512 divisors, whose sum is σ = 432806400000. Its totient is φ = 30359992320.

The previous prime is 117253471103. The next prime is 117253471189. The reversal of 117253471104 is 401174352711.

117253471104 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 534 + 7 + 110 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117253471103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132789447 + ... + 132790329.

It is an arithmetic number, because the mean of its divisors is an integer number (845325000).

Almost surely, 2117253471104 is an apocalyptic number.

117253471104 is a gapful number since it is divisible by the number (14) 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 117253471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216403200000).

117253471104 is an abundant number, since it is smaller than the sum of its proper divisors (315552928896).

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

117253471104 is a wasteful number, since it uses less digits than its factorization.

117253471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 117253471104 in words is "one hundred seventeen billion, two hundred fifty-three million, four hundred seventy-one thousand, one hundred four".