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4254055104 = 263133154979
BaseRepresentation
bin1111110110001111…
…1011101011000000
3101222110202101112110
43331203323223000
532203014230404
61542043055320
7210263605005
oct37543735300
911873671473
104254055104
111893337622
129a8811540
1352a453a90
142c4da78ac
1519d70ab89
hexfd8fbac0

4254055104 has 112 divisors (see below), whose sum is σ = 12512568320. Its totient is φ = 1266693120.

The previous prime is 4254055087. The next prime is 4254055139. The reversal of 4254055104 is 4015504524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49887 + ... + 104865.

It is an arithmetic number, because the mean of its divisors is an integer number (111719360).

Almost surely, 24254055104 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 4254055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256284160).

4254055104 is an abundant number, since it is smaller than the sum of its proper divisors (8258513216).

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

4254055104 is a wasteful number, since it uses less digits than its factorization.

4254055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55038 (or 55028 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 4254055104 is about 65223.1178647571. The cubic root of 4254055104 is about 1620.3209118862.

Adding to 4254055104 its reverse (4015504524), we get a palindrome (8269559628).

The spelling of 4254055104 in words is "four billion, two hundred fifty-four million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 54979 77376 109958 164937 219916 329874 439832 659748 714727 879664 1319496 1429454 1704349 1759328 2144181 2638992 2858908 3408698 3518656 4288362 5113047 5277984 5717816 6817396 8576724 10226094 10555968 11435632 13634792 17153448 20452188 22156537 22871264 27269584 34306896 40904376 44313074 45742528 54539168 66469611 68613792 81808752 88626148 109078336 132939222 137227584 163617504 177252296 265878444 327235008 354504592 531756888 709009184 1063513776 1418018368 2127027552 4254055104