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19243123213392 = 24321312277837293
BaseRepresentation
bin1000110000000011000111…
…00001100000010001010000
32112010121212100020222111200
410120001203201200101100
510010234404020312032
6104532100241511200
74024161350340021
oct430014341402120
975117770228450
1019243123213392
116149a65428881
1221a9543042500
13a978074818a0
144a752d1c0c48
1523585785c47c
hex118063860450

19243123213392 has 120 divisors (see below), whose sum is σ = 58001428519944. Its totient is φ = 5920471636992.

The previous prime is 19243123213357. The next prime is 19243123213393. The reversal of 19243123213392 is 29331232134291.

19243123213392 is a `hidden beast` number, since 1 + 9 + 2 + 4 + 312 + 321 + 3 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126697536 + 19242996515856 = 11256^2 + 4386684^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19243123213393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22563898 + ... + 23401190.

Almost surely, 219243123213392 is an apocalyptic number.

19243123213392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19243123213392 is an abundant number, since it is smaller than the sum of its proper divisors (38758305306552).

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

19243123213392 is a wasteful number, since it uses less digits than its factorization.

19243123213392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849597 (or 849588 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 19243123213392 in words is "nineteen trillion, two hundred forty-three billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 12277 24554 36831 49108 73662 98216 110493 147324 159601 196432 220986 294648 319202 441972 478803 589296 638404 837293 883944 957606 1276808 1436409 1674586 1767888 1915212 2511879 2553616 2872818 3349172 3830424 5023758 5745636 6698344 7535637 7660848 10047516 10884809 11491272 13396688 15071274 20095032 21769618 22982544 30142548 32654427 40190064 43539236 60285096 65308854 87078472 97963281 120570192 130617708 174156944 195926562 261235416 391853124 522470832 783706248 1567412496 10279446161 20558892322 30838338483 41117784644 61676676966 82235569288 92515015449 123353353932 133632800093 164471138576 185030030898 246706707864 267265600186 370060061796 400898400279 493413415728 534531200372 740120123592 801796800558 1069062400744 1202695200837 1480240247184 1603593601116 2138124801488 2405390401674 3207187202232 4810780803348 6414374404464 9621561606696 19243123213392