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245086344096 = 25311221319901
BaseRepresentation
bin1110010001000001001…
…0001101001110100000
3212102121111012021101120
43210100102031032200
513003414101002341
6304331402532240
723464316360226
oct3442022151640
9772544167346
10245086344096
1194a38940900
123b5bab07080
131a15b0a21a9
14bc0ddc8b16
15659676b066
hex391048d3a0

245086344096 has 144 divisors (see below), whose sum is σ = 707558421024. Its totient is φ = 74226240000.

The previous prime is 245086344031. The next prime is 245086344121. The reversal of 245086344096 is 690443680542.

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, 24748746 + ... + 24758646.

It is an arithmetic number, because the mean of its divisors is an integer number (4913600146).

Almost surely, 2245086344096 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 245086344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353779210512).

245086344096 is an abundant number, since it is smaller than the sum of its proper divisors (462472076928).

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

245086344096 is a wasteful number, since it uses less digits than its factorization.

245086344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 245086344096 in words is "two hundred forty-five billion, eighty-six million, three hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2131 2904 3872 4262 5808 6393 8524 9901 11616 12786 17048 19802 23441 25572 29703 34096 39604 46882 51144 59406 68192 70323 79208 93764 102288 108911 118812 140646 158416 187528 204576 217822 237624 257851 281292 316832 326733 375056 435644 475248 515702 562584 653466 750112 773553 871288 950496 1031404 1125168 1198021 1306932 1547106 1742576 2062808 2250336 2396042 2613864 3094212 3485152 3594063 4125616 4792084 5227728 6188424 7188126 8251232 9584168 10455456 12376848 14376252 19168336 21099031 24753696 28752504 38336672 42198062 57505008 63297093 84396124 115010016 126594186 168792248 232089341 253188372 337584496 464178682 506376744 675168992 696268023 928357364 1012753488 1392536046 1856714728 2025506976 2552982751 2785072092 3713429456 5105965502 5570144184 7426858912 7658948253 10211931004 11140288368 15317896506 20423862008 22280576736 30635793012 40847724016 61271586024 81695448032 122543172048 245086344096