Search a number
-
+
255306139632 = 243237274917431
BaseRepresentation
bin1110110111000101101…
…1101000011111110000
3220101222201112200022100
43231301123220133300
513140331332432012
6313141440340400
724305503244415
oct3556133503760
9811881480270
10255306139632
1199302729515
1241591614700
131b0c9487c9b
14c4dd40410c
156993a938dc
hex3b716e87f0

255306139632 has 120 divisors (see below), whose sum is σ = 734122532000. Its totient is φ = 82767121920.

The previous prime is 255306139619. The next prime is 255306139703. The reversal of 255306139632 is 236931603552.

It is a happy number.

255306139632 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 6 + 1 + 3 + 9 + 632 = 666.

It is a congruent number.

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, 14637957 + ... + 14655387.

Almost surely, 2255306139632 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 255306139632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367061266000).

255306139632 is an abundant number, since it is smaller than the sum of its proper divisors (478816392368).

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

255306139632 is a wasteful number, since it uses less digits than its factorization.

255306139632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20231 (or 20222 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 255306139632 in words is "two hundred fifty-five billion, three hundred six million, one hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 2749 5328 5498 8247 10996 16494 17431 21992 24741 32988 34862 43984 49482 52293 65976 69724 98964 101713 104586 131952 139448 156879 197928 203426 209172 278896 305139 313758 395856 406852 418344 610278 627516 644947 813704 836688 915417 1220556 1255032 1289894 1627408 1830834 1934841 2441112 2510064 2579788 3661668 3869682 4882224 5159576 5804523 7323336 7739364 10319152 11609046 14646672 15478728 23218092 30957456 46436184 47917819 92872368 95835638 143753457 191671276 287506914 383342552 431260371 575013828 766685104 862520742 1150027656 1725041484 1772959303 2300055312 3450082968 3545918606 5318877909 6900165936 7091837212 10637755818 14183674424 15956633727 21275511636 28367348848 31913267454 42551023272 63826534908 85102046544 127653069816 255306139632