Search a number
-
+
261657100050412 = 221129375542173601
BaseRepresentation
bin111011011111100111001010…
…100000000101111111101100
31021022110011201012010011021211
4323133213022200011333230
5233243442220103103122
62324255340133004204
7106054046601424423
oct7337471240057754
91238404635104254
10261657100050412
1176410175656950
122541aa95483664
13b30020a769781
1448883b22da2ba
15203b47d099877
hexedf9ca805fec

261657100050412 has 48 divisors (see below), whose sum is σ = 530718544127520. Its totient is φ = 111730219776000.

The previous prime is 261657100050407. The next prime is 261657100050419. The reversal of 261657100050412 is 214050001756162.

It is not an unprimeable number, because it can be changed into a prime (261657100050419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771039589 + ... + 2771134012.

It is an arithmetic number, because the mean of its divisors is an integer number (11056636335990).

Almost surely, 2261657100050412 is an apocalyptic number.

261657100050412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

261657100050412 is an abundant number, since it is smaller than the sum of its proper divisors (269061444077108).

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

261657100050412 is a wasteful number, since it uses less digits than its factorization.

261657100050412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542173682 (or 5542173680 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 261657100050412 in words is "two hundred sixty-one trillion, six hundred fifty-seven billion, one hundred million, fifty thousand, four hundred twelve".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 148 319 407 638 814 1073 1276 1628 2146 4292 11803 23606 47212 5542173601 11084347202 22168694404 60963909611 121927819222 160723034429 205060423237 243855638444 321446068858 410120846474 642892137716 820241692948 1767953378719 2255664655607 3535906757438 4511329311214 5946752273873 7071813514876 9022658622428 11893504547746 23787009095492 65414275012603 130828550025206 261657100050412