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293831323138392 = 2331319467106138517
BaseRepresentation
bin100001011001111001110111…
…1101000111011100101011000
31102112101000000010010122111020
41002303303233220323211120
5302003113022210412032
62520532125114402440
7115614420050341014
oct10263635750734530
91375330003118436
10293831323138392
1185695189821406
1228b5658b730420
13c7c5237297990
14527b7249d5544
1523e83612dbb2c
hex10b3cefa3b958

293831323138392 has 128 divisors (see below), whose sum is σ = 834503483923200. Its totient is φ = 85467827731968.

The previous prime is 293831323138351. The next prime is 293831323138421.

293831323138392 is nontrivially palindromic in base 10.

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, 50300883 + ... + 55837634.

It is an arithmetic number, because the mean of its divisors is an integer number (6519558468150).

Almost surely, 2293831323138392 is an apocalyptic number.

It is an amenable number.

293831323138392 is an abundant number, since it is smaller than the sum of its proper divisors (540672160784808).

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

293831323138392 is a wasteful number, since it uses less digits than its factorization.

293831323138392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106139025 (or 106139021 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 60.

The spelling of 293831323138392 in words is "two hundred ninety-three trillion, eight hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 467 494 741 934 988 1401 1482 1868 1976 2802 2964 3736 5604 5928 6071 8873 11208 12142 17746 18213 24284 26619 35492 36426 48568 53238 70984 72852 106476 115349 145704 212952 230698 346047 461396 692094 922792 1384188 2768376 106138517 212277034 318415551 424554068 636831102 849108136 1273662204 1379800721 2016631823 2547324408 2759601442 4033263646 4139402163 5519202884 6049895469 8066527292 8278804326 11038405768 12099790938 16133054584 16557608652 24199581876 26216213699 33115217304 48399163752 49566687439 52432427398 78648641097 99133374878 104864854796 148700062317 157297282194 198266749756 209729709592 297400124634 314594564388 396533499512 594800249268 629189128776 644366936707 941767061341 1189600498536 1288733873414 1883534122682 1933100810121 2577467746828 2825301184023 3767068245364 3866201620242 5154935493656 5650602368046 7534136490728 7732403240484 11301204736092 12242971797433 15464806480968 22602409472184 24485943594866 36728915392299 48971887189732 73457830784598 97943774379464 146915661569196 293831323138392