Search a number
-
+
255567403312 = 241343191149603
BaseRepresentation
bin1110111000000100000…
…0010001100100110000
3220102122221011020200221
43232001000101210300
513141400223401222
6313223412222424
724315125041204
oct3560100214460
9812587136627
10255567403312
1199427155811
124164500aa14
131b13b642490
14c525db2b04
1569ab9a00c7
hex3b81011930

255567403312 has 80 divisors (see below), whose sum is σ = 548512892928. Its totient is φ = 114607100160.

The previous prime is 255567403307. The next prime is 255567403321. The reversal of 255567403312 is 213304765552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633503 + ... + 1783105.

Almost surely, 2255567403312 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 255567403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274256446464).

255567403312 is an abundant number, since it is smaller than the sum of its proper divisors (292945489616).

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

255567403312 is a wasteful number, since it uses less digits than its factorization.

255567403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149858 (or 149852 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 255567403312 in words is "two hundred fifty-five billion, five hundred sixty-seven million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 191 208 344 382 559 688 764 1118 1528 2236 2483 3056 4472 4966 8213 8944 9932 16426 19864 32852 39728 65704 106769 131408 149603 213538 299206 427076 598412 854152 1196824 1708304 1944839 2393648 3889678 6432929 7779356 12865858 15558712 25731716 28574173 31117424 51463432 57148346 83628077 102926864 114296692 167256154 228593384 334512308 371464249 457186768 669024616 742928498 1228689439 1338049232 1485856996 2457378878 2971713992 4914757756 5943427984 9829515512 15972962707 19659031024 31945925414 63891850828 127783701656 255567403312