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256450202316 = 2232711199464897
BaseRepresentation
bin1110111011010110011…
…1111000101011001100
3220111221110022002021100
43232311213320223030
513200202222433231
6313451145503100
724346034516220
oct3566547705314
9814843262240
10256450202316
119983a4a9770
12418507a1a90
131b24c4c5759
14c5ab332780
156a0e2301e6
hex3bb59f8acc

256450202316 has 144 divisors (see below), whose sum is σ = 812269785600. Its totient is φ = 66275573760.

The previous prime is 256450202293. The next prime is 256450202381. The reversal of 256450202316 is 613202054652.

256450202316 is a `hidden beast` number, since 2 + 5 + 645 + 0 + 2 + 0 + 2 + 3 + 1 + 6 = 666.

256450202316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 319180 + ... + 784076.

It is an arithmetic number, because the mean of its divisors is an integer number (5640762400).

Almost surely, 2256450202316 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 256450202316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406134892800).

256450202316 is an abundant number, since it is smaller than the sum of its proper divisors (555819583284).

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

256450202316 is a wasteful number, since it uses less digits than its factorization.

256450202316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465124 (or 465119 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 256450202316 its reverse (613202054652), we get a palindrome (869652256968).

The spelling of 256450202316 in words is "two hundred fifty-six billion, four hundred fifty million, two hundred two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 199 231 252 308 396 398 462 597 693 796 924 1194 1386 1393 1791 2189 2388 2772 2786 3582 4179 4378 5572 6567 7164 8358 8756 12537 13134 15323 16716 19701 25074 26268 30646 39402 45969 50148 61292 78804 91938 137907 183876 275814 464897 551628 929794 1394691 1859588 2789382 3254279 4184073 5113867 5578764 6508558 8368146 9762837 10227734 13017116 15341601 16736292 19525674 20455468 29288511 30683202 35797069 39051348 46024803 58577022 61366404 71594138 92049606 92514503 107391207 117154044 143188276 184099212 185029006 214782414 277543509 322173621 370058012 429564828 555087018 644347242 647601521 832630527 1017659533 1110174036 1288694484 1295203042 1665261054 1942804563 2035319066 2590406084 3052978599 3330522108 3885609126 4070638132 5828413689 6105957198 7123616731 7771218252 9158935797 11656827378 12211914396 14247233462 18317871594 21370850193 23313654756 28494466924 36635743188 42741700386 64112550579 85483400772 128225101158 256450202316