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99966519360 = 263453856733
BaseRepresentation
bin101110100011001111…
…0000000100001000000
3100120000211122100110000
41131012132000201000
53114212412104420
6113531325240000
710136156252211
oct1350636004100
9316024570400
1099966519360
1139439548654
121745a703000
1395718b9406
144ba4827408
152901324690
hex1746780840

99966519360 has 140 divisors (see below), whose sum is σ = 355598588268. Its totient is φ = 26657731584.

The previous prime is 99966519337. The next prime is 99966519397. The reversal of 99966519360 is 6391566999.

It can be written as a sum of positive squares in 2 ways, for example, as 77560022016 + 22406497344 = 278496^2 + 149688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1902447 + ... + 1954286.

Almost surely, 299966519360 is an apocalyptic number.

99966519360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99966519360 is an abundant number, since it is smaller than the sum of its proper divisors (255632068908).

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

99966519360 is a wasteful number, since it uses less digits than its factorization.

99966519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856762 (or 3856743 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 99966519360 in words is "ninety-nine billion, nine hundred sixty-six million, five hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 3856733 7713466 11570199 15426932 19283665 23140398 30853864 34710597 38567330 46280796 57850995 61707728 69421194 77134660 92561592 104131791 115701990 123415456 138842388 154269320 173552985 185123184 208263582 231403980 246830912 277684776 308538640 312395373 347105970 370246368 416527164 462807960 520658955 555369552 617077280 624790746 694211940 740492736 833054328 925615920 1041317910 1110739104 1234154560 1249581492 1388423880 1561976865 1666108656 1851231840 2082635820 2221478208 2499162984 2776847760 3123953730 3332217312 3702463680 4165271640 4998325968 5553695520 6247907460 6664434624 8330543280 9996651936 11107391040 12495814920 16661086560 19993303872 24991629840 33322173120 49983259680 99966519360