Search a number
-
+
1915480912081 = 11247226772
BaseRepresentation
bin11011110111111011100…
…011110011000011010001
320210010012011021022202111
4123313323203303003101
5222340401103141311
64023543151345321
7255250255053022
oct33677343630321
96703164238674
101915480912081
11679395047100
1226b296822241
1310b824101849
14689d187ac49
1534c5cdeed21
hex1bdfb8f30d1

1915480912081 has 27 divisors (see below), whose sum is σ = 2151999690267. Its totient is φ = 1703659718640.

The previous prime is 1915480912061. The next prime is 1915480912087. The reversal of 1915480912081 is 1802190845191.

The square root of 1915480912081 is 1384009.

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

It can be written as a sum of positive squares in only one way, i.e., 35609577025 + 1879871335056 = 188705^2 + 1371084^2 .

It is not a de Polignac number, because 1915480912081 - 223 = 1915472523473 is a prime.

It is a super-2 number, since 2×19154809120812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1915480912087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 715531315 + ... + 715533991.

Almost surely, 21915480912081 is an apocalyptic number.

1915480912081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1915480912081 is the 1384009-th square number.

1915480912081 is the 692005-th centered octagonal number.

It is an amenable number.

1915480912081 is a deficient number, since it is larger than the sum of its proper divisors (236518778186).

1915480912081 is an frugal number, since it uses more digits than its factorization.

1915480912081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 49.

Multiplying 1915480912081 by its sum of digits (49), we get a square (93858564691969 = 96880632).

The spelling of 1915480912081 in words is "one trillion, nine hundred fifteen billion, four hundred eighty million, nine hundred twelve thousand, eighty-one".

Divisors: 1 11 47 121 517 2209 2677 5687 24299 29447 125819 267289 323917 1384009 5913493 7166329 15224099 65048423 78829619 336817463 715532653 867125809 3704992093 15830420761 40754913023 174134628371 1915480912081