Search a number
-
+
117521383680 = 283451133501
BaseRepresentation
bin110110101110011010…
…0100000000100000000
3102020100021012212010000
41231130310200010000
53411140433234210
6125553311040000
711330201164521
oct1553464400400
9366307185100
10117521383680
1145927836a88
121a939810000
13b10b8340ac
14598c0a0848
1530cc5a0ac0
hex1b5cd20100

117521383680 has 180 divisors, whose sum is σ = 420513372972. Its totient is φ = 31339008000.

The previous prime is 117521383649. The next prime is 117521383691. The reversal of 117521383680 is 86383125711.

It is a happy number.

117521383680 is a `hidden beast` number, since 1 + 1 + 75 + 213 + 8 + 368 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77399691264 + 40121692416 = 278208^2 + 200304^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1175213836802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 463071 + ... + 670430.

Almost surely, 2117521383680 is an apocalyptic number.

117521383680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117521383680 is an abundant number, since it is smaller than the sum of its proper divisors (302991989292).

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

117521383680 is an equidigital number, since it uses as much as digits as its factorization.

117521383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133534 (or 1133511 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 117521383680 in words is "one hundred seventeen billion, five hundred twenty-one million, three hundred eighty-three thousand, six hundred eighty".