Search a number
-
+
272195550012672 = 28331113231838233
BaseRepresentation
bin111101111000111101110111…
…000100010110010100000000
31022200202122021212221120211000
4331320331313010112110000
5241134122441300401142
62402524524233252000
7111222323322211626
oct7570756704262400
91280678255846730
10272195550012672
117980353694a080
12266413a2b64000
13b8b5c12933700
144b3049900d516
15217066e4c714c
hexf78f77116500

272195550012672 has 1728 divisors, whose sum is σ = 993466790830080. Its totient is φ = 72785947852800.

The previous prime is 272195550012667. The next prime is 272195550012719. The reversal of 272195550012672 is 276210055591272.

272195550012672 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 9 + 5 + 5 + 500 + 126 + 7 + 2 = 666.

272195550012672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 33061522668 + ... + 33061530900.

It is an arithmetic number, because the mean of its divisors is an integer number (574922911360).

Almost surely, 2272195550012672 is an apocalyptic number.

272195550012672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272195550012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496733395415040).

272195550012672 is an abundant number, since it is smaller than the sum of its proper divisors (721271240817408).

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

272195550012672 is a wasteful number, since it uses less digits than its factorization.

272195550012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 272195550012672 in words is "two hundred seventy-two trillion, one hundred ninety-five billion, five hundred fifty million, twelve thousand, six hundred seventy-two".