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261664242858 = 23353973892423
BaseRepresentation
bin1111001110110001100…
…1110111110010101010
3221000101211102210021000
43303230121313302222
513241342021232413
6320112404455430
724622166236464
oct3635431676252
9830354383230
10261664242858
11a0a75709587
12428669aa576
131b8a07b6345
14c9439cd134
156c16d66073
hex3cec677caa

261664242858 has 128 divisors (see below), whose sum is σ = 600341414400. Its totient is φ = 84440918016.

The previous prime is 261664242857. The next prime is 261664242901. The reversal of 261664242858 is 858242466162.

261664242858 is a `hidden beast` number, since 2 + 6 + 166 + 4 + 2 + 428 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (261664242857) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 107990635 + ... + 107993057.

It is an arithmetic number, because the mean of its divisors is an integer number (4690167300).

Almost surely, 2261664242858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261664242858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300170707200).

261664242858 is an abundant number, since it is smaller than the sum of its proper divisors (338677171542).

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

261664242858 is a wasteful number, since it uses less digits than its factorization.

261664242858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 261664242858 in words is "two hundred sixty-one billion, six hundred sixty-four million, two hundred forty-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 97 106 159 194 291 318 389 477 582 778 873 954 1167 1431 1746 2334 2423 2619 2862 3501 4846 5141 5238 7002 7269 10282 10503 14538 15423 20617 21006 21807 30846 37733 41234 43614 46269 61851 65421 75466 92538 113199 123702 128419 130842 138807 185553 226398 235031 256838 277614 339597 371106 385257 470062 556659 679194 705093 770514 942547 1018791 1113318 1155771 1410186 1885094 1999849 2037582 2115279 2311542 2827641 3467313 3999698 4230558 5655282 5999547 6345837 6934626 8482923 11999094 12456643 12691674 16965846 17998641 24913286 25448769 35997282 37369929 49954991 50897538 53995923 74739858 91427059 99909982 107991846 112109787 149864973 182854118 224219574 274281177 299729946 336329361 449594919 548562354 672658722 822843531 899189838 1348784757 1645687062 2468530593 2697569514 4845634127 4937061186 9691268254 14536902381 29073804762 43610707143 87221414286 130832121429 261664242858