Search a number
-
+
72011613663 = 32112143945953
BaseRepresentation
bin100001100010000111…
…0100000010111011111
320212212121120000001100
41003010032200113133
52134434433114123
653025350444143
75126341421343
oct1030416402737
9225777500040
1072011613663
11285a3751200
1211b58663653
136a38129bb2
1436b1c55623
151d17019643
hex10c43a05df

72011613663 has 36 divisors (see below), whose sum is σ = 114414431040. Its totient is φ = 43612124160.

The previous prime is 72011613643. The next prime is 72011613701. The reversal of 72011613663 is 36631611027.

72011613663 is a `hidden beast` number, since 7 + 20 + 11 + 613 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 72011613663 - 210 = 72011612639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011613643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1544095 + ... + 1590047.

It is an arithmetic number, because the mean of its divisors is an integer number (3178178640).

Almost surely, 272011613663 is an apocalyptic number.

72011613663 is a deficient number, since it is larger than the sum of its proper divisors (42402817377).

72011613663 is a wasteful number, since it uses less digits than its factorization.

72011613663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420 (or 47406 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 72011613663 in words is "seventy-two billion, eleven million, six hundred thirteen thousand, six hundred sixty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1439 4317 12951 15829 45953 47487 137859 142461 174119 413577 505483 522357 1516449 1567071 4549347 5560313 16680939 50042817 66126367 198379101 595137303 727390037 2182170111 6546510333 8001290407 24003871221 72011613663