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192934413048 = 233131938538447
BaseRepresentation
bin1011001110101111001…
…0011000001011111000
3200102222221010200022210
42303223302120023320
511130112202204143
6224344410015120
716640044311066
oct2635362301370
9612887120283
10192934413048
11749064a0143
12314854174a0
13152695612b0
1494a3971036
155043002033
hex2cebc982f8

192934413048 has 128 divisors (see below), whose sum is σ = 546984345600. Its totient is φ = 56218738176.

The previous prime is 192934413011. The next prime is 192934413059. The reversal of 192934413048 is 840314439291.

It is a Cunningham number, because it is equal to 4392432-1.

It is a junction number, because it is equal to n+sod(n) for n = 192934412988 and 192934413006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22836361 + ... + 22844807.

It is an arithmetic number, because the mean of its divisors is an integer number (4273315200).

Almost surely, 2192934413048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192934413048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273492172800).

192934413048 is an abundant number, since it is smaller than the sum of its proper divisors (354049932552).

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

192934413048 is a wasteful number, since it uses less digits than its factorization.

192934413048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 192934413048 in words is "one hundred ninety-two billion, nine hundred thirty-four million, four hundred thirteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 3853 5928 7706 8447 11559 15412 16894 23118 25341 30824 33788 46236 50089 50682 67576 73207 92472 100178 101364 109811 146414 150267 160493 200356 202728 219621 219622 292828 300534 320986 329433 400712 439242 439244 481479 585656 601068 641972 658866 878484 878488 951691 962958 1202136 1283944 1317732 1756968 1903382 1925916 2086409 2635464 2855073 3806764 3851832 4172818 5710146 6259227 7613528 8345636 11420292 12518454 16691272 22840584 25036908 32546291 50073816 65092582 97638873 130185164 195277746 260370328 390555492 423101783 618379529 781110984 846203566 1236759058 1269305349 1692407132 1855138587 2473518116 2538610698 3384814264 3710277174 4947036232 5077221396 7420554348 8038933877 10154442792 14841108696 16077867754 24116801631 32155735508 48233603262 64311471016 96467206524 192934413048