Search a number
-
+
3255583325328 = 243261587631391
BaseRepresentation
bin101111010111111111111…
…000110011110010010000
3102112020020012101110001100
4233113333320303302100
5411314413312402303
610531332213104400
7454131250451205
oct57277770636220
912466205343040
103255583325328
111045759a06984
12446b54328100
131a8000558599
14b37dd051cac
1559a427db8a3
hex2f5ffe33c90

3255583325328 has 120 divisors (see below), whose sum is σ = 9276264781056. Its totient is φ = 1065584275200.

The previous prime is 3255583325297. The next prime is 3255583325339. The reversal of 3255583325328 is 8235233855523.

3255583325328 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 583 + 3 + 2 + 53 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4840513 + ... + 5471903.

Almost surely, 23255583325328 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 3255583325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638132390528).

3255583325328 is an abundant number, since it is smaller than the sum of its proper divisors (6020681455728).

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

3255583325328 is a wasteful number, since it uses less digits than its factorization.

3255583325328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632053 (or 632044 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 3255583325328 in words is "three trillion, two hundred fifty-five billion, five hundred eighty-three million, three hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 587 732 976 1098 1174 1464 1761 2196 2348 2928 3522 4392 4696 5283 7044 8784 9392 10566 14088 21132 28176 35807 42264 71614 84528 107421 143228 214842 286456 322263 429684 572912 631391 644526 859368 1262782 1289052 1718736 1894173 2525564 2578104 3788346 5051128 5156208 5682519 7576692 10102256 11365038 15153384 22730076 30306768 38514851 45460152 77029702 90920304 115544553 154059404 231089106 308118808 346633659 370626517 462178212 616237616 693267318 741253034 924356424 1111879551 1386534636 1482506068 1848712848 2223759102 2773069272 2965012136 3335638653 4447518204 5546138544 5930024272 6671277306 8895036408 13342554612 17790072816 22608217537 26685109224 45216435074 53370218448 67824652611 90432870148 135649305222 180865740296 203473957833 271298610444 361731480592 406947915666 542597220888 813895831332 1085194441776 1627791662664 3255583325328