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1493334126368 = 25717225789759
BaseRepresentation
bin10101101110110001101…
…001100110111100100000
312021202120000121200010222
4111232301221212330200
5143431322014020433
63102010032542212
7212614132431440
oct25566151467440
95252500550128
101493334126368
11526357201917
122015026b1968
13aaa893c9696
14523c6248120
1528ca2080b98
hex15bb1a66f20

1493334126368 has 144 divisors (see below), whose sum is σ = 3583203402240. Its totient is φ = 600002789376.

The previous prime is 1493334126311. The next prime is 1493334126391. The reversal of 1493334126368 is 8636214333941.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16592273 + ... + 16682031.

It is an arithmetic number, because the mean of its divisors is an integer number (24883356960).

Almost surely, 21493334126368 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 1493334126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791601701120).

1493334126368 is an abundant number, since it is smaller than the sum of its proper divisors (2089869275872).

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

1493334126368 is a wasteful number, since it uses less digits than its factorization.

1493334126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90067 (or 90042 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 53.

The spelling of 1493334126368 in words is "one trillion, four hundred ninety-three billion, three hundred thirty-four million, one hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 257 272 289 476 514 544 578 952 1028 1156 1799 1904 2023 2056 2312 3598 3808 4046 4112 4369 4624 7196 8092 8224 8738 9248 14392 16184 17476 28784 30583 32368 34952 57568 61166 64736 69904 74273 89759 122332 139808 148546 179518 244664 297092 359036 489328 519911 594184 628313 718072 978656 1039822 1188368 1256626 1436144 1525903 2079644 2376736 2513252 2872288 3051806 4159288 5026504 6103612 8318576 10053008 10681321 12207224 16637152 20106016 21362642 23068063 24414448 25940351 42725284 46136126 48828896 51880702 85450568 92272252 103761404 161476441 170901136 181582457 184544504 207522808 322952882 341802272 363164914 369089008 392157071 415045616 645905764 726329828 738178016 784314142 830091232 1291811528 1452659656 1568628284 2583623056 2745099497 2905319312 3137256568 5167246112 5490198994 5810638624 6274513136 6666670207 10980397988 12549026272 13333340414 21960795976 26666680828 43921591952 46666691449 53333361656 87843183904 93333382898 106666723312 186666765796 213333446624 373333531592 746667063184 1493334126368