Search a number
-
+
199654817261472 = 2533231081964423
BaseRepresentation
bin101101011001010111000010…
…011101011110011110100000
3222011220210222111102002122000
4231121113002131132132200
5202132121031204331342
61544344053513244000
760024404331411366
oct5531270235363640
9864823874362560
10199654817261472
1158686150398931
121a486536403600
1387534a3729941
1437434b7c85636
15181372ede744c
hexb595c275e7a0

199654817261472 has 48 divisors (see below), whose sum is σ = 582326550348480. Its totient is φ = 66551605753536.

The previous prime is 199654817261467. The next prime is 199654817261527. The reversal of 199654817261472 is 274162718456991.

It is a happy number.

199654817261472 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 5 + 4 + 81 + 72 + 6 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 199654817261472.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115540981348 + ... + 115540983075.

It is an arithmetic number, because the mean of its divisors is an integer number (12131803132260).

Almost surely, 2199654817261472 is an apocalyptic number.

199654817261472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199654817261472 is an abundant number, since it is smaller than the sum of its proper divisors (382671733087008).

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

199654817261472 is a wasteful number, since it uses less digits than its factorization.

199654817261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231081964442 (or 231081964428 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 199654817261472 in words is "one hundred ninety-nine trillion, six hundred fifty-four billion, eight hundred seventeen million, two hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 231081964423 462163928846 693245893269 924327857692 1386491786538 1848655715384 2079737679807 2772983573076 3697311430768 4159475359614 5545967146152 6239213039421 7394622861536 8318950719228 11091934292304 12478426078842 16637901438456 22183868584608 24956852157684 33275802876912 49913704315368 66551605753824 99827408630736 199654817261472