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22987295272704 = 28377975365007
BaseRepresentation
bin1010011101000001001011…
…00100011010111100000000
310000101120020010112202122110
411032200211210122330000
511003110440042211304
6120520115003135320
74561530414621510
oct516404544327400
9100346203482573
1022987295272704
1173629479a4094
1226b3112814540
13ca9900976109
1459683bacb840
1529ce44051289
hex14e82591af00

22987295272704 has 144 divisors (see below), whose sum is σ = 70007431431168. Its totient is φ = 6559556775936.

The previous prime is 22987295272523. The next prime is 22987295272717. The reversal of 22987295272704 is 40727259278922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602169 + ... + 6967175.

It is an arithmetic number, because the mean of its divisors is an integer number (486162718272).

Almost surely, 222987295272704 is an apocalyptic number.

22987295272704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22987295272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003715715584).

22987295272704 is an abundant number, since it is smaller than the sum of its proper divisors (47020136158464).

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

22987295272704 is an equidigital number, since it uses as much as digits as its factorization.

22987295272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365830 (or 5365816 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 22987295272704 in words is "twenty-two trillion, nine hundred eighty-seven billion, two hundred ninety-five million, two hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 797 896 1344 1594 1792 2391 2688 3188 4782 5376 5579 6376 9564 11158 12752 16737 19128 22316 25504 33474 38256 44632 51008 66948 76512 89264 102016 133896 153024 178528 204032 267792 306048 357056 535584 612096 714112 1071168 1428224 2142336 4284672 5365007 10730014 16095021 21460028 32190042 37555049 42920056 64380084 75110098 85840112 112665147 128760168 150220196 171680224 225330294 257520336 300440392 343360448 450660588 515040672 600880784 686720896 901321176 1030081344 1201761568 1373441792 1802642352 2060162688 2403523136 3605284704 4120325376 4275910579 4807046272 7210569408 8551821158 9614092544 12827731737 14421138816 17103642316 25655463474 28842277632 29931374053 34207284632 51310926948 59862748106 68414569264 89794122159 102621853896 119725496212 136829138528 179588244318 205243707792 239450992424 273658277056 359176488636 410487415584 478901984848 547316554112 718352977272 820974831168 957803969696 1094633108224 1436705954544 1641949662336 1915607939392 2873411909088 3283899324672 3831215878784 5746823818176 7662431757568 11493647636352 22987295272704