Search a number
-
+
972242242279 = 711157163493397
BaseRepresentation
bin11100010010111100010…
…01110100101011100111
310102221112020022020021021
432021132021310223213
5111412123003223104
62022350353232011
7130146032463460
oct16113611645347
93387466266237
10972242242279
11345364443760
12138515b62607
13708b3605429
14350b1b13d67
151a454900754
hexe25e274ae7

972242242279 has 32 divisors (see below), whose sum is σ = 1227353181696. Its totient is φ = 748146222720.

The previous prime is 972242242277. The next prime is 972242242381.

972242242279 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 972242242279 - 21 = 972242242277 is a prime.

It is a super-2 number, since 2×9722422422792 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972242242277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1723809 + ... + 2217205.

It is an arithmetic number, because the mean of its divisors is an integer number (38354786928).

Almost surely, 2972242242279 is an apocalyptic number.

972242242279 is a deficient number, since it is larger than the sum of its proper divisors (255110939417).

972242242279 is a wasteful number, since it uses less digits than its factorization.

972242242279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493735.

The product of its digits is 4064256, while the sum is 52.

The spelling of 972242242279 in words is "nine hundred seventy-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred seventy-nine".

Divisors: 1 7 11 77 157 163 1099 1141 1727 1793 12089 12551 25591 179137 281501 493397 1970507 3453779 5427367 37991569 77463329 80423711 542243303 562965977 852096619 884660821 5964676333 6192625747 12626522627 88385658389 138891748897 972242242279