Search a number
-
+
797999182864 = 241324124192
BaseRepresentation
bin10111001110011000111…
…01010011010000010000
32211021202221020200212021
423213030131103100100
5101033300242322424
61410332403541224
7111440110064632
oct13471435232020
92737687220767
10797999182864
1128847a80a214
1210a7a838a814
135a3355a7400
142a8a2736a52
1515b5781c4e4
hexb9cc753410

797999182864 has 135 divisors (see below), whose sum is σ = 1720140186999. Its totient is φ = 358466634240.

The previous prime is 797999182777. The next prime is 797999182913. The reversal of 797999182864 is 468281999797.

The square root of 797999182864 is 893308.

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 531528483600 + 266470699264 = 729060^2 + 516208^2 .

It is a super-2 number, since 2×7979991828642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1904532447 + ... + 1904532865.

Almost surely, 2797999182864 is an apocalyptic number.

797999182864 is the 893308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797999182864

797999182864 is an abundant number, since it is smaller than the sum of its proper divisors (922141004135).

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

797999182864 is an equidigital number, since it uses as much as digits as its factorization.

797999182864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 475 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 79.

The spelling of 797999182864 in words is "seven hundred ninety-seven billion, nine hundred ninety-nine million, one hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 419 533 656 676 838 1066 1352 1676 1681 2132 2704 3352 3362 4264 5447 6704 6724 6929 8528 10894 13448 13858 17179 21788 21853 26896 27716 34358 43576 43706 55432 68716 70811 87152 87412 110864 137432 141622 174824 175561 223327 274864 283244 284089 349648 351122 446654 566488 568178 702244 704339 893308 1132976 1136356 1404488 1408678 1786616 2272712 2282293 2808976 2817356 2903251 3573232 4545424 4564586 5634712 5806502 7198001 9129172 9156407 11269424 11613004 14396002 18258344 18312814 23226008 28792004 29669809 36516688 36625628 46452016 57584008 59339618 73251256 93574013 115168016 118679236 119033291 146502512 187148026 237358472 238066582 295118041 374296052 474716944 476133164 590236082 748592104 952266328 1180472164 1216462169 1497184208 1904532656 2360944328 2432924338 3836534533 4721888656 4865848676 7673069066 9731697352 15346138132 19463394704 30692276264 49874948929 61384552528 99749897858 199499795716 398999591432 797999182864