Search a number
-
+
55972526273280 = 283451471367001
BaseRepresentation
bin11001011101000000111101…
…00010111011001100000000
321100011220212121000220010000
430232200132202323030000
524314023213211221110
6315013231255040000
714534611244206551
oct1456403642731400
9240156777026100
1055972526273280
111691a8a6975a71
12633ba25970000
132530256bb8a36
14db71286bc328
15670e91b891c0
hex32e81e8bb300

55972526273280 has 360 divisors, whose sum is σ = 200416633046784. Its totient is φ = 14915819520000.

The previous prime is 55972526273273. The next prime is 55972526273309. The reversal of 55972526273280 is 8237262527955.

It is a happy number.

55972526273280 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 2 + 526 + 27 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152329780 + ... + 152696780.

Almost surely, 255972526273280 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 55972526273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100208316523392).

55972526273280 is an abundant number, since it is smaller than the sum of its proper divisors (144444106773504).

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

55972526273280 is a wasteful number, since it uses less digits than its factorization.

55972526273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368505 (or 368482 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 55972526273280 in words is "fifty-five trillion, nine hundred seventy-two billion, five hundred twenty-six million, two hundred seventy-three thousand, two hundred eighty".