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272059203248 = 24717197725321
BaseRepresentation
bin1111110101011111111…
…1011111111010110000
3222000020021101111011222
43331113333133322300
513424134124000443
6324552100524212
725440611033450
oct3752777377260
9860207344158
10272059203248
11a541a367138
12448880b0668
131c86926c291
14d24c3a3d60
15712473e468
hex3f57fdfeb0

272059203248 has 80 divisors (see below), whose sum is σ = 641091806784. Its totient is φ = 109180968960.

The previous prime is 272059203239. The next prime is 272059203271. The reversal of 272059203248 is 842302950272.

272059203248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 272059203199 and 272059203208.

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, 12428 + ... + 737748.

Almost surely, 2272059203248 is an apocalyptic number.

272059203248 is a gapful number since it is divisible by the number (28) 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 272059203248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320545903392).

272059203248 is an abundant number, since it is smaller than the sum of its proper divisors (369032603536).

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

272059203248 is a wasteful number, since it uses less digits than its factorization.

272059203248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725550 (or 725544 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 272059203248 in words is "two hundred seventy-two billion, fifty-nine million, two hundred three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 197 238 272 394 476 788 952 1379 1576 1904 2758 3152 3349 5516 6698 11032 13396 22064 23443 26792 46886 53584 93772 187544 375088 725321 1450642 2901284 5077247 5802568 10154494 11605136 12330457 20308988 24660914 40617976 49321828 81235952 86313199 98643656 142888237 172626398 197287312 285776474 345252796 571552948 690505592 1000217659 1143105896 1381011184 2000435318 2286211792 2429100029 4000870636 4858200058 8001741272 9716400116 16003482544 17003700203 19432800232 34007400406 38865600464 68014800812 136029601624 272059203248