Search a number
-
+
793076690688 = 28373103137339
BaseRepresentation
bin10111000101001110000…
…11011110111100000000
32210211001212201012001020
423202213003132330000
5100443210113100223
61404200121505440
7111204115433532
oct13424703367400
92724055635036
10793076690688
11286384130a67
12109853942280
1359a2c815749
142a556a8d852
151596a5c61e3
hexb8a70def00

793076690688 has 144 divisors (see below), whose sum is σ = 2160443900160. Its totient is φ = 258204229632.

The previous prime is 793076690669. The next prime is 793076690689. The reversal of 793076690688 is 886096670397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793076690689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5705923 + ... + 5843261.

It is an arithmetic number, because the mean of its divisors is an integer number (15003082640).

Almost surely, 2793076690688 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 793076690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080221950080).

793076690688 is an abundant number, since it is smaller than the sum of its proper divisors (1367367209472).

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

793076690688 is a wasteful number, since it uses less digits than its factorization.

793076690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137534 (or 137520 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 793076690688 in words is "seven hundred ninety-three billion, seventy-six million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 103 128 146 192 206 219 256 292 309 384 412 438 584 618 768 824 876 1168 1236 1648 1752 2336 2472 3296 3504 4672 4944 6592 7008 7519 9344 9888 13184 14016 15038 18688 19776 22557 26368 28032 30076 39552 45114 56064 60152 79104 90228 120304 137339 180456 240608 274678 360912 412017 481216 549356 721824 824034 962432 1098712 1443648 1648068 1924864 2197424 2887296 3296136 4394848 5774592 6592272 8789696 10025747 13184544 14145917 17579392 20051494 26369088 28291834 30077241 35158784 40102988 42437751 52738176 56583668 60154482 80205976 84875502 105476352 113167336 120308964 160411952 169751004 226334672 240617928 320823904 339502008 452669344 481235856 641647808 679004016 905338688 962471712 1032651941 1283295616 1358008032 1810677376 1924943424 2065303882 2566591232 2716016064 3097955823 3621354752 3849886848 4130607764 5432032128 6195911646 7699773696 8261215528 10864064256 12391823292 16522431056 24783646584 33044862112 49567293168 66089724224 99134586336 132179448448 198269172672 264358896896 396538345344 793076690688