Search a number
-
+
56980160152272 = 24347191907173347
BaseRepresentation
bin11001111010010101110100…
…01101001000001011010000
321110202020202022221112220000
430331022322031020023100
524432030331444333042
6321104154010050000
715000452325646560
oct1475127215101320
9243666668845800
1056980160152272
1117179171a33165
126483178419900
1325a428a8b8826
14100dbd6926da0
1568c2b86ca74c
hex33d2ba3482d0

56980160152272 has 400 divisors, whose sum is σ = 198501710077440. Its totient is φ = 15415024640256.

The previous prime is 56980160152259. The next prime is 56980160152361. The reversal of 56980160152272 is 27225106108965.

56980160152272 is a `hidden beast` number, since 5 + 6 + 9 + 8 + 0 + 1 + 601 + 5 + 2 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328619103 + ... + 328792449.

Almost surely, 256980160152272 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 56980160152272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99250855038720).

56980160152272 is an abundant number, since it is smaller than the sum of its proper divisors (141521549925168).

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

56980160152272 is a wasteful number, since it uses less digits than its factorization.

56980160152272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175300 (or 175285 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56980160152272 in words is "fifty-six trillion, nine hundred eighty billion, one hundred sixty million, one hundred fifty-two thousand, two hundred seventy-two".