Search a number
-
+
5532280016760 = 23335717291484347
BaseRepresentation
bin101000010000001010110…
…0101011100111101111000
3201120212210002212121001000
41100200111211130331320
51211120102141014020
615433254440325000
71110460025152530
oct120402545347570
921525702777030
105532280016760
111843254930362
12754239473760
133118cba73673
14151a99b604c0
1598d92204090
hex5081595cf78

5532280016760 has 512 divisors, whose sum is σ = 23084580096000. Its totient is φ = 1149097549824.

The previous prime is 5532280016741. The next prime is 5532280016819. The reversal of 5532280016760 is 676100822355.

5532280016760 is a `hidden beast` number, since 553 + 2 + 2 + 80 + 0 + 16 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×55322800167602 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2984907 + ... + 4469253.

It is an arithmetic number, because the mean of its divisors is an integer number (45087070500).

Almost surely, 25532280016760 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 5532280016760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542290048000).

5532280016760 is an abundant number, since it is smaller than the sum of its proper divisors (17552300079240).

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

5532280016760 is a wasteful number, since it uses less digits than its factorization.

5532280016760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484420 (or 1484410 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5532280016760 in words is "five trillion, five hundred thirty-two billion, two hundred eighty million, sixteen thousand, seven hundred sixty".