Search a number
-
+
8381187689672 = 23721462212
BaseRepresentation
bin111100111110110010110…
…1101110000110011001000
31002200020022101021101112202
41321331211231300303020
52044304133022032142
625454133043055332
71523343433630400
oct171754555606310
932606271241482
108381187689672
112741494a54426
12b343b6971548
1348a45b92ba15
1420d91a1a3800
15e8031eeb032
hex79f65b70cc8

8381187689672 has 36 divisors (see below), whose sum is σ = 18280521638865. Its totient is φ = 3591913016160.

The previous prime is 8381187689671. The next prime is 8381187689681. The reversal of 8381187689672 is 2769867811838.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8112733137796 + 268454551876 = 2848286^2 + 518126^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2047094.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8381187689672.

It is not an unprimeable number, because it can be changed into a prime (8381187689671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57245522 + ... + 57391742.

Almost surely, 28381187689672 is an apocalyptic number.

It is an amenable number.

8381187689672 is an abundant number, since it is smaller than the sum of its proper divisors (9899333949193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8381187689672 is an frugal number, since it uses more digits than its factorization.

8381187689672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292462 (or 146230 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 74.

The spelling of 8381187689672 in words is "eight trillion, three hundred eighty-one billion, one hundred eighty-seven million, six hundred eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 146221 292442 584884 1023547 1169768 2047094 4094188 7164829 8188376 14329658 28659316 57318632 21380580841 42761161682 85522323364 149664065887 171044646728 299328131774 598656263548 1047648461209 1197312527096 2095296922418 4190593844836 8381187689672