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1138793179368 = 2331343918114591
BaseRepresentation
bin10000100100100101010…
…111001110100011101000
311000212102110021110112210
4100210211113032203220
5122124222023214433
62231053202005120
7145163233211565
oct20444527164350
94025373243483
101138793179368
113a9a61074909
121648576467a0
1383506b18990
143d19168b86c
151e951551463
hex109255ce8e8

1138793179368 has 128 divisors (see below), whose sum is σ = 3075332198400. Its totient is φ = 349330579200.

The previous prime is 1138793179331. The next prime is 1138793179379. The reversal of 1138793179368 is 8639713978311.

It is a junction number, because it is equal to n+sod(n) for n = 1138793179299 and 1138793179308.

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, 248046753 + ... + 248051343.

It is an arithmetic number, because the mean of its divisors is an integer number (24026032800).

Almost surely, 21138793179368 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 1138793179368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537666099200).

1138793179368 is an abundant number, since it is smaller than the sum of its proper divisors (1936539019032).

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

1138793179368 is a wasteful number, since it uses less digits than its factorization.

1138793179368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6859 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 66.

The spelling of 1138793179368 in words is "one trillion, one hundred thirty-eight billion, seven hundred ninety-three million, one hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 439 878 1317 1756 1811 2634 3512 3622 4591 5268 5433 5707 7244 9182 10536 10866 11414 13773 14488 17121 18364 21732 22828 23543 27546 34242 36728 43464 45656 47086 55092 59683 68484 70629 94172 110184 119366 136968 141258 179049 188344 238732 282516 358098 477464 565032 716196 795029 1432392 1590058 2015449 2385087 3180116 4030898 4770174 6046347 6360232 8061796 8314301 9540348 10335377 12092694 16123592 16628602 19080696 20670754 24185388 24942903 26200837 31006131 33257204 41341508 48370776 49885806 52401674 62012262 66514408 78602511 82683016 99771612 104803348 108085913 124024524 157205022 199543224 209606696 216171826 248049048 314410044 324257739 432343652 628820088 648515478 864687304 1297030956 2594061912 3649978139 7299956278 10949934417 14599912556 21899868834 29199825112 43799737668 47449715807 87599475336 94899431614 142349147421 189798863228 284698294842 379597726456 569396589684 1138793179368