Search a number
-
+
19242209369448 = 23321320557915993
BaseRepresentation
bin1000110000000001011010…
…00011011101110101101000
32112010112111122200220021200
410120000231003131311220
510010231021044310243
6104531425435004200
74024126612651662
oct430005503356550
975115448626250
1019242209369448
11614963660034a
1221a9328b99660
13a976c004bb20
144a7483a9d532
152358024e8ad3
hex11802d0ddd68

19242209369448 has 48 divisors (see below), whose sum is σ = 56123110663620. Its totient is φ = 5920679805696.

The previous prime is 19242209369429. The next prime is 19242209369491. The reversal of 19242209369448 is 84496390224291.

19242209369448 is a `hidden beast` number, since 1 + 9 + 2 + 4 + 220 + 9 + 369 + 4 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17596833640164 + 1645375729284 = 4194858^2 + 1282722^2 .

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 11 ways as a sum of consecutive naturals, for example, 10278957061 + ... + 10278958932.

Almost surely, 219242209369448 is an apocalyptic number.

19242209369448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19242209369448 is an abundant number, since it is smaller than the sum of its proper divisors (36880901294172).

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

19242209369448 is a wasteful number, since it uses less digits than its factorization.

19242209369448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20557916018 (or 20557916011 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 19242209369448 in words is "nineteen trillion, two hundred forty-two billion, two hundred nine million, three hundred sixty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 20557915993 41115831986 61673747979 82231663972 123347495958 164463327944 185021243937 246694991916 267252907909 370042487874 493389983832 534505815818 740084975748 801758723727 1069011631636 1480169951496 1603517447454 2138023263272 2405276171181 3207034894908 4810552342362 6414069789816 9621104684724 19242209369448