Search a number
-
+
37144661108164 = 22317296132
BaseRepresentation
bin10000111001000011010100…
…10101001010010111000100
311212111222212022001102222021
420130201222111022113010
514332034231220430124
6211000004410212524
710552420220652361
oct1034415225122704
9155458768042867
1037144661108164
1110920a64922045
1241baa73a24144
13179595a1c131c
14925b4dc97468
1544634050d7e4
hex21c86a54a5c4

37144661108164 has 27 divisors (see below), whose sum is σ = 65215645194567. Its totient is φ = 18511816853664.

The previous prime is 37144661108063. The next prime is 37144661108201. The reversal of 37144661108164 is 46180116644173.

The square root of 37144661108164 is 6094642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1160019469764 + 35984641638400 = 1077042^2 + 5998720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3863998222 + ... + 3864007834.

Almost surely, 237144661108164 is an apocalyptic number.

37144661108164 is the 6094642-nd square number.

It is an amenable number.

37144661108164 is a deficient number, since it is larger than the sum of its proper divisors (28070984086403).

37144661108164 is an frugal number, since it uses more digits than its factorization.

37144661108164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 37144661108164 in words is "thirty-seven trillion, one hundred forty-four billion, six hundred sixty-one million, one hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 4 317 634 1268 9613 19226 38452 100489 200978 401956 3047321 6094642 12189284 92409769 184819538 369639076 966000757 1932001514 3864003028 29293896773 58587793546 117175587092 9286165277041 18572330554082 37144661108164