Search a number
-
+
72244766744227 = 7111949381248629
BaseRepresentation
bin10000011011010011001011…
…101010001001111010100011
3100110210112101000021112120001
4100123103023222021322203
533432124240241303402
6413352442045200431
721134340445110310
oct2033231352117243
9313715330245501
1072244766744227
1121023919456690
12812962a260117
13314086306c1bc
1413ba945aa7d07
158543bb15d187
hex41b4cba89ea3

72244766744227 has 16 divisors (see below), whose sum is σ = 94811997369600. Its totient is φ = 53331748518240.

The previous prime is 72244766744201. The next prime is 72244766744233.

72244766744227 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72244766744227 - 231 = 72242619260579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72244766742227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24690622852 + ... + 24690625777.

It is an arithmetic number, because the mean of its divisors is an integer number (5925749835600).

Almost surely, 272244766744227 is an apocalyptic number.

72244766744227 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72244766744227 is a deficient number, since it is larger than the sum of its proper divisors (22567230625373).

72244766744227 is a wasteful number, since it uses less digits than its factorization.

72244766744227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49381248666.

The product of its digits is 354041856, while the sum is 64.

The spelling of 72244766744227 in words is "seventy-two trillion, two hundred forty-four billion, seven hundred sixty-six million, seven hundred forty-four thousand, two hundred twenty-seven".

Divisors: 1 7 11 19 77 133 209 1463 49381248629 345668740403 543193734919 938243723951 3802356144433 6567706067657 10320680963461 72244766744227