Search a number
-
+
3166744051331 = 7217371035711747
BaseRepresentation
bin101110000101010000101…
…001110111111010000011
3102012201220211121201122222
4232011100221313322003
5403340442434120311
610422440535121255
7444534604210400
oct56052051677203
912181824551588
103166744051331
111011010507483
124318a021322b
1319c813059533
14ad3b237d2a7
15575932ddadb
hex2e150a77e83

3166744051331 has 96 divisors (see below), whose sum is σ = 4054168115712. Its totient is φ = 2455788948480.

The previous prime is 3166744051309. The next prime is 3166744051343. The reversal of 3166744051331 is 1331504476613.

It is a happy number.

3166744051331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3166744051331 - 210 = 3166744050307 is a prime.

It is a super-2 number, since 2×31667440513312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3166744051631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1812674600 + ... + 1812676346.

It is an arithmetic number, because the mean of its divisors is an integer number (42230917872).

Almost surely, 23166744051331 is an apocalyptic number.

3166744051331 is a deficient number, since it is larger than the sum of its proper divisors (887424064381).

3166744051331 is a wasteful number, since it uses less digits than its factorization.

3166744051331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 3166744051331 in words is "three trillion, one hundred sixty-six billion, seven hundred forty-four million, fifty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 37 49 103 119 259 571 629 721 833 1747 1751 1813 3811 3997 4403 5047 9707 12229 12257 21127 26677 27979 29699 30821 58813 64639 64787 67949 85603 85799 147889 179941 186739 207893 359159 411691 452473 453509 475643 997537 999821 1035223 1098863 1259587 1455251 2176081 2514113 2881837 3058997 3167311 3174563 6657817 6982759 6998747 7692041 8817109 15232567 16958129 17598791 21412979 36908869 36993377 46604719 48879313 48991229 53844287 102746311 106627969 113182889 118706903 149890853 258362083 258953639 326233033 627450773 719224177 792280223 830948321 1746687287 1808534581 1812675473 3801613507 4392155411 5034569239 5545961561 12226811009 26611294549 30745087877 64627429619 85587677063 186279061843 452392007333 3166744051331