Search a number
-
+
1427819467396 = 22748921372
BaseRepresentation
bin10100110001110000101…
…011000001001010000100
312001111110012020011110011
4110301300223001022010
5141343133240424041
63011533050240004
7205104461140000
oct24616053011204
95044405204404
101427819467396
11500597958963
121b0879a26004
13a48482c549a
144d16d203700
152721a614e81
hex14c70ac1284

1427819467396 has 135 divisors (see below), whose sum is σ = 2969754197039. Its totient is φ = 600630691584.

The previous prime is 1427819467381. The next prime is 1427819467423. The reversal of 1427819467396 is 6937649187241.

The square root of 1427819467396 is 1194914.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83295732100 + 1344523735296 = 288610^2 + 1159536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10422039840 + ... + 10422039976.

Almost surely, 21427819467396 is an apocalyptic number.

1427819467396 is the 1194914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427819467396

1427819467396 is an abundant number, since it is smaller than the sum of its proper divisors (1541934729643).

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

1427819467396 is an frugal number, since it uses more digits than its factorization.

1427819467396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 235 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 67.

The spelling of 1427819467396 in words is "one trillion, four hundred twenty-seven billion, eight hundred nineteen million, four hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 89 98 137 178 196 274 343 356 548 623 686 959 1246 1372 1918 2401 2492 3836 4361 4802 6713 7921 8722 9604 12193 13426 15842 17444 18769 24386 26852 30527 31684 37538 46991 48772 55447 61054 75076 85351 93982 110894 122108 131383 170702 187964 213689 221788 262766 328937 341404 388129 427378 525532 597457 657874 776258 854756 919681 1085177 1194914 1315748 1552516 1670441 1839362 2170354 2389828 2716903 3340882 3678724 4182199 4340708 5433806 6437767 6681764 7596239 8364398 10867612 11693087 12875534 15192478 16728796 19018321 23386174 25751068 29275393 30384956 38036642 45064369 46772348 53173673 58550786 76073284 81851609 90128738 106347346 117101572 148669249 163703218 180257476 212694692 297338498 327406436 372215711 572961263 594676996 744431422 1040684743 1145922526 1488862844 2081369486 2291845052 2605509977 4010728841 4162738972 5211019954 7284793201 8021457682 10422039908 14569586402 16042915364 29139172804 50993552407 101987104814 203974209628 356954866849 713909733698 1427819467396