Search a number
-
+
3283280525824 = 29132917009701
BaseRepresentation
bin101111110001110010110…
…001001111101000000000
3102121212201110120000100221
4233301302301033220000
5412243124303311244
610552152424152424
7456131515665655
oct57616261175000
912555643500327
103283280525824
111056482297622
124503a4008714
131aa7c5808210
14b4ca96ddc2c
155a61418e784
hex2fc72c4fa00

3283280525824 has 80 divisors (see below), whose sum is σ = 7308388561320. Its totient is φ = 1463106355200.

The previous prime is 3283280525821. The next prime is 3283280525839. The reversal of 3283280525824 is 4285250823823.

It can be written as a sum of positive squares in 4 ways, for example, as 2780996487424 + 502284038400 = 1667632^2 + 708720^2 .

It is a super-2 number, since 2×32832805258242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (3283280525821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8311827 + ... + 8697874.

Almost surely, 23283280525824 is an apocalyptic number.

It is an amenable number.

3283280525824 is an abundant number, since it is smaller than the sum of its proper divisors (4025108035496).

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

3283280525824 is a wasteful number, since it uses less digits than its factorization.

3283280525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17009761 (or 17009745 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 52.

The spelling of 3283280525824 in words is "three trillion, two hundred eighty-three billion, two hundred eighty million, five hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 928 1508 1664 1856 3016 3328 3712 6032 6656 7424 12064 14848 24128 48256 96512 193024 17009701 34019402 68038804 136077608 221126113 272155216 442252226 493281329 544310432 884504452 986562658 1088620864 1769008904 1973125316 2177241728 3538017808 3946250632 4354483456 6412657277 7076035616 7892501264 8708966912 12825314554 14152071232 15785002528 25650629108 28304142464 31570005056 51301258216 56608284928 63140010112 102602516432 113216569856 126280020224 205205032864 252560040448 410410065728 820820131456 1641640262912 3283280525824