Search a number
-
+
55367206272 = 27327193111657
BaseRepresentation
bin110011100100001001…
…001000010110000000
312021220122011111111100
4303210021020112000
51401343001100042
641234011214400
74000023326310
oct634411102600
9167818144440
1055367206272
1121532387614
12a892447400
1352b49ca421
14297349b440
151690b8324c
hexce4248580

55367206272 has 384 divisors, whose sum is σ = 197868902400. Its totient is φ = 14501928960.

The previous prime is 55367206267. The next prime is 55367206283. The reversal of 55367206272 is 27260276355.

55367206272 is a `hidden beast` number, since 553 + 6 + 7 + 20 + 6 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×553672062722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743868 + ... + 4755524.

It is an arithmetic number, because the mean of its divisors is an integer number (515283600).

Almost surely, 255367206272 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 55367206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98934451200).

55367206272 is an abundant number, since it is smaller than the sum of its proper divisors (142501696128).

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

55367206272 is a wasteful number, since it uses less digits than its factorization.

55367206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11734 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 55367206272 in words is "fifty-five billion, three hundred sixty-seven million, two hundred six thousand, two hundred seventy-two".