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12427427238492 = 22371719943732061
BaseRepresentation
bin1011010011010111110001…
…1000101101001001011100
31122000001100202211112212010
42310311330120231021130
53112102332333112432
642233025315111220
72421565142415660
oct264657430551134
948001322745763
1012427427238492
113a6149576a452
1214886282a2510
136c1b94399116
1430d6c26388a0
151683ec6433cc
hexb4d7c62d25c

12427427238492 has 96 divisors (see below), whose sum is σ = 35265534796800. Its totient is φ = 3325035985920.

The previous prime is 12427427238491. The next prime is 12427427238511. The reversal of 12427427238492 is 29483272472421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427427238491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21581859 + ... + 22150202.

It is an arithmetic number, because the mean of its divisors is an integer number (367349320800).

Almost surely, 212427427238492 is an apocalyptic number.

12427427238492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12427427238492 is an abundant number, since it is smaller than the sum of its proper divisors (22838107558308).

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

12427427238492 is a wasteful number, since it uses less digits than its factorization.

12427427238492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43732291 (or 43732289 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The spelling of 12427427238492 in words is "twelve trillion, four hundred twenty-seven billion, four hundred twenty-seven million, two hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 199 204 238 357 398 476 597 714 796 1194 1393 1428 2388 2786 3383 4179 5572 6766 8358 10149 13532 16716 20298 23681 40596 47362 71043 94724 142086 284172 43732061 87464122 131196183 174928244 262392366 306124427 524784732 612248854 743445037 918373281 1224497708 1486890074 1836746562 2230335111 2973780148 3673493124 4460670222 5204115259 8702680139 8921340444 10408230518 15612345777 17405360278 20816461036 26108040417 31224691554 34810720556 52216080834 60918760973 62449383108 104432161668 121837521946 147945562363 182756282919 243675043892 295891124726 365512565838 443836687089 591782249452 731025131676 887673374178 1035618936541 1775346748356 2071237873082 3106856809623 4142475746164 6213713619246 12427427238492