Search a number
-
+
117679185936 = 24341327332
BaseRepresentation
bin110110110011000111…
…0011110000000010000
3102020202021011001010000
41231212032132000100
53412001332422221
6130021105210000
711334125401434
oct1554616360020
9366667131100
10117679185936
11459a8918174
121a982630900
13b135435400
1459a501a9c4
1530db371e26
hex1b6639e010

117679185936 has 225 divisors, whose sum is σ = 369316741959. Its totient is φ = 36159581952.

The previous prime is 117679185893. The next prime is 117679185979. The reversal of 117679185936 is 639581976711.

The square root of 117679185936 is 343044.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (117679185893) and next prime (117679185979).

It can be written as a sum of positive squares in 4 ways, for example, as 7029816336 + 110649369600 = 83844^2 + 332640^2 .

Its product of digits (17146080) is a multiple of the sum of its prime factors (1512).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160544226 + ... + 160544958.

Almost surely, 2117679185936 is an apocalyptic number.

117679185936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117679185936 is the 343044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117679185936

117679185936 is an abundant number, since it is smaller than the sum of its proper divisors (251637556023).

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

117679185936 is an frugal number, since it uses more digits than its factorization.

117679185936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 751 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 117679185936 in words is "one hundred seventeen billion, six hundred seventy-nine million, one hundred eighty-five thousand, nine hundred thirty-six".