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230047945306893 = 327149172314223493
BaseRepresentation
bin110100010011101000110110…
…000011111011001100001101
31010011112100221211212202121200
4310103220312003323030031
5220123101142444310033
62133134322255020113
766312262353262620
oct6423506603731415
91104470854782550
10230047945306893
116733387087407a
12219749bb50a639
139b495748841bc
1440b4546889db7
151b8e11d145013
hexd13a360fb30d

230047945306893 has 48 divisors (see below), whose sum is σ = 382532337033600. Its totient is φ = 130497921977472.

The previous prime is 230047945306871. The next prime is 230047945306961. The reversal of 230047945306893 is 398603549740032.

230047945306893 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 4 + 7 + 9 + 4 + 530 + 6 + 8 + 93 = 666.

230047945306893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230047945306893 - 238 = 229773067399949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 230047945306893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230047944306893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9062055 + ... + 23285547.

It is an arithmetic number, because the mean of its divisors is an integer number (7969423688200).

Almost surely, 2230047945306893 is an apocalyptic number.

It is an amenable number.

230047945306893 is a deficient number, since it is larger than the sum of its proper divisors (152484391726707).

230047945306893 is a wasteful number, since it uses less digits than its factorization.

230047945306893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14225378 (or 14225375 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 230047945306893 in words is "two hundred thirty trillion, forty-seven billion, nine hundred forty-five million, three hundred six thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 1723 3129 5169 9387 12061 15507 36183 108549 256727 770181 1797089 2310543 5391267 14223493 16173801 42670479 99564451 128011437 298693353 896080059 2119300457 6357901371 14835103199 19073704113 24507078439 44505309597 73521235317 133515928791 171549549073 220563705951 514648647219 1543945941657 3651554687411 10954664062233 25560882811877 32863992186699 76682648435631 230047945306893