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117742299948 = 22337131731127179
BaseRepresentation
bin110110110100111111…
…1001110101100101100
3102020220122220120021000
41231221333032230230
53412114012044243
6130031242040300
711335523015340
oct1555177165454
9366818816230
10117742299948
1145a30505709
121a99b7a9090
13b145532890
1459ad569620
1530e1b8c5d3
hex1b69fceb2c

117742299948 has 768 divisors, whose sum is σ = 416179814400. Its totient is φ = 27904020480.

The previous prime is 117742299947. The next prime is 117742299953. The reversal of 117742299948 is 849992247711.

117742299948 is a `hidden beast` number, since 11 + 77 + 422 + 9 + 99 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (117742299947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 657778123 + ... + 657778301.

It is an arithmetic number, because the mean of its divisors is an integer number (541900800).

Almost surely, 2117742299948 is an apocalyptic number.

117742299948 is a gapful number since it is divisible by the number (18) 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 117742299948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208089907200).

117742299948 is an abundant number, since it is smaller than the sum of its proper divisors (298437514452).

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

117742299948 is a wasteful number, since it uses less digits than its factorization.

117742299948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 117742299948 in words is "one hundred seventeen billion, seven hundred forty-two million, two hundred ninety-nine thousand, nine hundred forty-eight".