Search a number
-
+
55733015280 = 24351277092579
BaseRepresentation
bin110011111001111100…
…100101001011110000
312022212010111112010010
4303321330211023300
51403120122442110
641334155534520
74012054546005
oct637174451360
9168763445103
1055733015280
11216aa91a308
12a974a5a440
13534272a267
1429a9cc18ac
1516b2d41020
hexcf9f252f0

55733015280 has 160 divisors (see below), whose sum is σ = 174445977600. Its totient is φ = 14718606336.

The previous prime is 55733015251. The next prime is 55733015281. The reversal of 55733015280 is 8251033755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55733015281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21609031 + ... + 21611609.

It is an arithmetic number, because the mean of its divisors is an integer number (1090287360).

Almost surely, 255733015280 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 55733015280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87222988800).

55733015280 is an abundant number, since it is smaller than the sum of its proper divisors (118712962320).

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

55733015280 is a wasteful number, since it uses less digits than its factorization.

55733015280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 55733015280 in words is "fifty-five billion, seven hundred thirty-three million, fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 709 762 1016 1270 1418 1524 1905 2032 2127 2540 2579 2836 3048 3545 3810 4254 5080 5158 5672 6096 7090 7620 7737 8508 10160 10316 10635 11344 12895 14180 15240 15474 17016 20632 21270 25790 28360 30480 30948 34032 38685 41264 42540 51580 56720 61896 77370 85080 90043 103160 123792 154740 170160 180086 206320 270129 309480 327533 360172 450215 540258 618960 655066 720344 900430 982599 1080516 1310132 1350645 1440688 1637665 1800860 1828511 1965198 2161032 2620264 2701290 3275330 3601720 3657022 3930396 4322064 4912995 5240528 5402580 5485533 6550660 7203440 7314044 7860792 9142555 9825990 10805160 10971066 13101320 14628088 15721584 18285110 19651980 21610320 21942132 26202640 27427665 29256176 36570220 39303960 43884264 54855330 73140440 78607920 87768528 109710660 146280880 219421320 232220897 438842640 464441794 696662691 928883588 1161104485 1393325382 1857767176 2322208970 2786650764 3483313455 3715534352 4644417940 5573301528 6966626910 9288835880 11146603056 13933253820 18577671760 27866507640 55733015280