Search a number
-
+
1794468873672 = 23342769242089
BaseRepresentation
bin11010000111001110101…
…011100000010111001000
320100112211121202211120000
4122013032223200113020
5213400033012424142
63452211223403000
7243434416520226
oct32071653402710
96315747684500
101794468873672
11632036996602
1224b943bb3460
131002aa3539a7
1462bd1d71b16
1531a2918b14c
hex1a1ceae05c8

1794468873672 has 40 divisors (see below), whose sum is σ = 5026174393350. Its totient is φ = 598156291008.

The previous prime is 1794468873649. The next prime is 1794468873709. The reversal of 1794468873672 is 2763788644971.

1794468873672 is a `hidden beast` number, since 1 + 7 + 9 + 446 + 8 + 87 + 36 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1531539902916 + 262928970756 = 1237554^2 + 512766^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1794468873672.

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 9 ways as a sum of consecutive naturals, for example, 1384620397 + ... + 1384621692.

Almost surely, 21794468873672 is an apocalyptic number.

1794468873672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1794468873672 is an abundant number, since it is smaller than the sum of its proper divisors (3231705519678).

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

1794468873672 is a wasteful number, since it uses less digits than its factorization.

1794468873672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769242107 (or 2769242094 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 1794468873672 in words is "one trillion, seven hundred ninety-four billion, four hundred sixty-eight million, eight hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2769242089 5538484178 8307726267 11076968356 16615452534 22153936712 24923178801 33230905068 49846357602 66461810136 74769536403 99692715204 149539072806 199385430408 224308609209 299078145612 448617218418 598156291224 897234436836 1794468873672