Search a number
-
+
12794438592 = 263413189851
BaseRepresentation
bin10111110101001101…
…11010001111000000
31020000122222211020000
423322212322033000
5202200334013332
65513325120000
7632025635145
oct137246721700
936018884200
1012794438592
1154761440a1
1225909b9000
13128b91b230
1489533a3cc
154ed399b7c
hex2fa9ba3c0

12794438592 has 140 divisors (see below), whose sum is σ = 40844379576. Its totient is φ = 3936729600.

The previous prime is 12794438567. The next prime is 12794438599. The reversal of 12794438592 is 29583449721.

12794438592 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 4 + 43 + 8 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12794438599) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27534 + ... + 162317.

Almost surely, 212794438592 is an apocalyptic number.

12794438592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422189788).

12794438592 is an abundant number, since it is smaller than the sum of its proper divisors (28049940984).

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

12794438592 is a wasteful number, since it uses less digits than its factorization.

12794438592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189888 (or 189869 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12794438592 in words is "twelve billion, seven hundred ninety-four million, four hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 189851 379702 569553 759404 1139106 1518808 1708659 2278212 2468063 3037616 3417318 4556424 4936126 5125977 6075232 6834636 7404189 9112848 9872252 10251954 12150464 13669272 14808378 15377931 18225696 19744504 20503908 22212567 27338544 29616756 30755862 36451392 39489008 41007816 44425134 54677088 59233512 61511724 66637701 78978016 82015632 88850268 109354176 118467024 123023448 133275402 157956032 164031264 177700536 199913103 236934048 246046896 266550804 328062528 355401072 399826206 473868096 492093792 533101608 710802144 799652412 984187584 1066203216 1421604288 1599304824 2132406432 3198609648 4264812864 6397219296 12794438592