Search a number
-
+
272473571240 = 235133143675867
BaseRepresentation
bin1111110111000010110…
…0001011111110101000
3222001022011002120012122
43331300230023332220
513431011213234430
6325101142130412
725454102066423
oct3756054137650
9861264076178
10272473571240
11a5612255a22
1244982a20a08
131c904071640
14d28b4289ba
15714acdeee5
hex3f70b0bfa8

272473571240 has 256 divisors, whose sum is σ = 707900497920. Its totient is φ = 93660779520.

The previous prime is 272473571203. The next prime is 272473571273. The reversal of 272473571240 is 42175374272.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 272473571191 and 272473571200.

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, 46438787 + ... + 46444653.

It is an arithmetic number, because the mean of its divisors is an integer number (2765236320).

Almost surely, 2272473571240 is an apocalyptic number.

272473571240 is a gapful number since it is divisible by the number (20) 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 272473571240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353950248960).

272473571240 is an abundant number, since it is smaller than the sum of its proper divisors (435426926680).

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

272473571240 is a wasteful number, since it uses less digits than its factorization.

272473571240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 272473571240 in words is "two hundred seventy-two billion, four hundred seventy-three million, five hundred seventy-one thousand, two hundred forty".