Search a number
-
+
247199386560 = 2635733161397
BaseRepresentation
bin1110011000111000111…
…0110100101111000000
3212122001202020221201120
43212032032310233000
513022231020332220
6305321204432240
723600555055000
oct3461616645700
9778052227646
10247199386560
1195922677995
123baaa6a8680
131a406aa8689
14bd708ac000
15666c00ca40
hex398e3b4bc0

247199386560 has 896 divisors, whose sum is σ = 962719334400. Its totient is φ = 53648179200.

The previous prime is 247199386531. The next prime is 247199386607. The reversal of 247199386560 is 65683991742.

247199386560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2471993865602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 247199386494 and 247199386503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622668282 + ... + 622668678.

It is a 1-persistent number, because it is pandigital, but 2⋅247199386560 = 494398773120 is not.

Almost surely, 2247199386560 is an apocalyptic number.

247199386560 is a gapful number since it is divisible by the number (20) 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 247199386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481359667200).

247199386560 is an abundant number, since it is smaller than the sum of its proper divisors (715519947840).

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

247199386560 is a wasteful number, since it uses less digits than its factorization.

247199386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 247199386560 in words is "two hundred forty-seven billion, one hundred ninety-nine million, three hundred eighty-six thousand, five hundred sixty".