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1364823941808 = 243311917196679
BaseRepresentation
bin10011110111000101110…
…110001010001010110000
311211110211221000220002210
4103313011312022022300
5134330124412114213
62522554053412120
7200414416043355
oct23670566121260
94743757026083
101364823941808
11486900597118
121a061893a040
139b91908c562
144a0b499062c
152577ee040c3
hex13dc5d8a2b0

1364823941808 has 160 divisors (see below), whose sum is σ = 3664222617600. Its totient is φ = 437286124800.

The previous prime is 1364823941791. The next prime is 1364823941821. The reversal of 1364823941808 is 8081493284631.

It is a happy 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, 204342213 + ... + 204348891.

It is an arithmetic number, because the mean of its divisors is an integer number (22901391360).

Almost surely, 21364823941808 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 1364823941808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832111308800).

1364823941808 is an abundant number, since it is smaller than the sum of its proper divisors (2299398675792).

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

1364823941808 is a wasteful number, since it uses less digits than its factorization.

1364823941808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1364823941808 in words is "one trillion, three hundred sixty-four billion, eight hundred twenty-three million, nine hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 191 248 372 382 496 573 719 744 764 1146 1438 1488 1528 2157 2292 2876 3056 4314 4584 5752 5921 6679 8628 9168 11504 11842 13358 17256 17763 20037 22289 23684 26716 34512 35526 40074 44578 47368 53432 66867 71052 80148 89156 94736 106864 133734 137329 142104 160296 178312 207049 267468 274658 284208 320592 356624 411987 414098 534936 549316 621147 823974 828196 1069872 1098632 1242294 1275689 1647948 1656392 2197264 2484588 2551378 3295896 3312784 3827067 4257199 4802201 4969176 5102756 6591792 7654134 8514398 9604402 9938352 10205512 12771597 14406603 15308268 17028796 19208804 20411024 25543194 28813206 30616536 34057592 38417608 39546359 51086388 57626412 61233072 68115184 76835216 79092718 102172776 115252824 118639077 148868231 158185436 204345552 230505648 237278154 297736462 316370872 446604693 474556308 595472924 632741744 893209386 917220391 949112616 1190945848 1786418772 1834440782 1898225232 2381891696 2751661173 3572837544 3668881564 5503322346 7145675088 7337763128 11006644692 14675526256 22013289384 28433832121 44026578768 56867664242 85301496363 113735328484 170602992726 227470656968 341205985452 454941313936 682411970904 1364823941808