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117104667540 = 223573494611733
BaseRepresentation
bin110110100001111111…
…0110110101110010100
3102012021020002111000220
41231003332312232110
53404312243330130
6125444103234340
711313651151620
oct1550376665624
9365236074026
10117104667540
1145733593a83
121a8421489b0
13b0733bbcb3
14594c9c8180
1530a5bd9410
hex1b43fb6b94

117104667540 has 192 divisors, whose sum is σ = 376841203200. Its totient is φ = 26616821760.

The previous prime is 117104667539. The next prime is 117104667571. The reversal of 117104667540 is 45766401711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 117104667492 and 117104667501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67572514 + ... + 67574246.

It is an arithmetic number, because the mean of its divisors is an integer number (1962714600).

Almost surely, 2117104667540 is an apocalyptic number.

117104667540 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 117104667540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188420601600).

117104667540 is an abundant number, since it is smaller than the sum of its proper divisors (259736535660).

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

117104667540 is a wasteful number, since it uses less digits than its factorization.

117104667540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 117104667540 in words is "one hundred seventeen billion, one hundred four million, six hundred sixty-seven thousand, five hundred forty".