Search a number
-
+
11947844913984 = 263373131862959
BaseRepresentation
bin1010110111011101001100…
…0011010100101101000000
31120022012110212002012221000
42231313103003110231000
53031223141244221414
641224433021332000
72342126510053110
oct255672303245500
946265425065830
1011947844913984
113897063a79831
12140b6a5107000
136888a5315945
142d43c8d83040
1515abce281b09
hexaddd30d4b40

11947844913984 has 224 divisors, whose sum is σ = 41437142220800. Its totient is φ = 3303551485440.

The previous prime is 11947844913973. The next prime is 11947844914039. The reversal of 11947844913984 is 48931944874911.

It is a happy number.

11947844913984 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 78 + 449 + 1 + 39 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×119478449139842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15556504 + ... + 16306455.

Almost surely, 211947844913984 is an apocalyptic number.

11947844913984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11947844913984 is an abundant number, since it is smaller than the sum of its proper divisors (29489297306816).

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

11947844913984 is a wasteful number, since it uses less digits than its factorization.

11947844913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31863018 (or 31863002 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 11947844913984 in words is "eleven trillion, nine hundred forty-seven billion, eight hundred forty-four million, nine hundred thirteen thousand, nine hundred eighty-four".