Search a number
-
+
55915695644160 = 29351123151190579
BaseRepresentation
bin11001011011010111000110…
…01011010001111000000000
321022222111011222011210212110
430231223203023101320000
524312110321041103120
6314531152125255320
714530530030633312
oct1455534313217000
9238874158153773
1055915695644160
11168a8793521190
126330a05404540
132527a9ac64c41
14db4496b1d7b2
1566e7677d42e0
hex32dae32d1e00

55915695644160 has 640 divisors, whose sum is σ = 204833164124160. Its totient is φ = 12880023552000.

The previous prime is 55915695644089. The next prime is 55915695644201. The reversal of 55915695644160 is 6144659651955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 55915695644091 and 55915695644100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293303751 + ... + 293494329.

It is an arithmetic number, because the mean of its divisors is an integer number (320051818944).

Almost surely, 255915695644160 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 55915695644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102416582062080).

55915695644160 is an abundant number, since it is smaller than the sum of its proper divisors (148917468480000).

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

55915695644160 is a wasteful number, since it uses less digits than its factorization.

55915695644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190790 (or 190774 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 66.

The spelling of 55915695644160 in words is "fifty-five trillion, nine hundred fifteen billion, six hundred ninety-five million, six hundred forty-four thousand, one hundred sixty".