Search a number
-
+
5317668195840 = 2934571121317137
BaseRepresentation
bin100110101100001110110…
…1110010100111000000000
3200211100211102212111110000
41031120131232110320000
51144111041024231330
615150523020240000
71056121526605530
oct115303556247000
920740742774400
105317668195840
111770235079900
1271a7243a0000
132c75b946b410
1414553b2234c0
15934d1096560
hex4d61db94e00

5317668195840 has 4800 divisors, whose sum is σ = 27481061849472. Its totient is φ = 952966840320.

The previous prime is 5317668195811. The next prime is 5317668195883. The reversal of 5317668195840 is 485918667135.

5317668195840 is a `hidden beast` number, since 5 + 31 + 7 + 6 + 6 + 8 + 19 + 584 + 0 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 38815096252 + ... + 38815096388.

Almost surely, 25317668195840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317668195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740530924736).

5317668195840 is an abundant number, since it is smaller than the sum of its proper divisors (22163393653632).

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

5317668195840 is a wasteful number, since it uses less digits than its factorization.

5317668195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5317668195840 in words is "five trillion, three hundred seventeen billion, six hundred sixty-eight million, one hundred ninety-five thousand, eight hundred forty".