Search a number
-
+
1942345922592 = 253197913479527
BaseRepresentation
bin11100010000111100110…
…101101011100000100000
320212200112102112021000210
4130100330311223200200
5223310411024010332
64044145034014120
7260221066634565
oct34207465534040
96780472467023
101942345922592
11689820700129
12274533877340
13111215b3a87a
146a01d7c086c
15357d16bcecc
hex1c43cd6b820

1942345922592 has 96 divisors (see below), whose sum is σ = 5434945689600. Its totient is φ = 605608144128.

The previous prime is 1942345922581. The next prime is 1942345922599. The reversal of 1942345922592 is 2952295432491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1942345922599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595668 + ... + 6883859.

It is an arithmetic number, because the mean of its divisors is an integer number (56614017600).

Almost surely, 21942345922592 is an apocalyptic number.

1942345922592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1942345922592 is an abundant number, since it is smaller than the sum of its proper divisors (3492599767008).

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

1942345922592 is a wasteful number, since it uses less digits than its factorization.

1942345922592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13479638 (or 13479630 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 57.

The spelling of 1942345922592 in words is "one trillion, nine hundred forty-two billion, three hundred forty-five million, nine hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1824 1896 2528 3002 3792 4503 6004 7584 9006 12008 18012 24016 36024 48032 72048 144096 13479527 26959054 40438581 53918108 80877162 107836216 161754324 215672432 256111013 323508648 431344864 512222026 647017296 768333039 1024444052 1064882633 1294034592 1536666078 2048888104 2129765266 3073332156 3194647899 4097776208 4259530532 6146664312 6389295798 8195552416 8519061064 12293328624 12778591596 17038122128 20232770027 24586657248 25557183192 34076244256 40465540054 51114366384 60698310081 80931080108 102228732768 121396620162 161862160216 242793240324 323724320432 485586480648 647448640864 971172961296 1942345922592