Search a number
-
+
255000550056 = 23377956933767
BaseRepresentation
bin1110110101111100110…
…1111001101010101000
3220101012102112010012220
43231133031321222220
513134220120100211
6313051242434040
724265102624620
oct3553715715250
9811172463186
10255000550056
119916618754a
1241507202920
131b07b080c55
14c4b09b7880
156976d2d806
hex3b5f379aa8

255000550056 has 128 divisors (see below), whose sum is σ = 739113984000. Its totient is φ = 71806505472.

The previous prime is 255000550043. The next prime is 255000550061. The reversal of 255000550056 is 650055000552.

255000550056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255000549999 and 255000550026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7534885 + ... + 7568651.

It is an arithmetic number, because the mean of its divisors is an integer number (5774328000).

Almost surely, 2255000550056 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 255000550056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369556992000).

255000550056 is an abundant number, since it is smaller than the sum of its proper divisors (484113433944).

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

255000550056 is a wasteful number, since it uses less digits than its factorization.

255000550056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34431 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 33.

The spelling of 255000550056 in words is "two hundred fifty-five billion, five hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 569 632 948 1106 1138 1659 1707 1896 2212 2276 3318 3414 3983 4424 4552 6636 6828 7966 11949 13272 13656 15932 23898 31864 33767 44951 47796 67534 89902 95592 101301 134853 135068 179804 202602 236369 269706 270136 314657 359608 405204 472738 539412 629314 709107 810408 943971 945476 1078824 1258628 1418214 1887942 1890952 2517256 2667593 2836428 3775884 5335186 5672856 7551768 8002779 10670372 16005558 18673151 19213423 21340744 32011116 37346302 38426846 56019453 57640269 64022232 74692604 76853692 112038906 115280538 134493961 149385208 153707384 224077812 230561076 268987922 403481883 448155624 461122152 537975844 806963766 1075951688 1517860417 1613927532 3035720834 3227855064 4553581251 6071441668 9107162502 10625022919 12142883336 18214325004 21250045838 31875068757 36428650008 42500091676 63750137514 85000183352 127500275028 255000550056