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230965961234528 = 2513265516519341
BaseRepresentation
bin110100100000111111110100…
…000100110001100001100000
31010021210010111221210210111002
4310200333310010301201200
5220233121242034001103
62135120144154211132
766435511555023542
oct6440776404614140
91107703457723432
10230965961234528
1167658128934a63
1221aa2901123aa8
139bb4cc5959500
144106b52847692
151ba7e4c124488
hexd20ff4131860

230965961234528 has 72 divisors (see below), whose sum is σ = 492458108150736. Its totient is φ = 106583385792000.

The previous prime is 230965961234527. The next prime is 230965961234531. The reversal of 230965961234528 is 825432169569032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230965961234521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32168138 + ... + 38687478.

It is an arithmetic number, because the mean of its divisors is an integer number (6839695946538).

Almost surely, 2230965961234528 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 230965961234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246229054075368).

230965961234528 is an abundant number, since it is smaller than the sum of its proper divisors (261492146916208).

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

230965961234528 is a wasteful number, since it uses less digits than its factorization.

230965961234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525928 (or 6525907 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 65.

The spelling of 230965961234528 in words is "two hundred thirty trillion, nine hundred sixty-five billion, nine hundred sixty-one million, two hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 6551 13102 26204 52408 85163 104816 170326 209632 340652 681304 1107119 1362608 2214238 2725216 4428476 6519341 8856952 13038682 17713904 26077364 35427808 52154728 84751433 104309456 169502866 208618912 339005732 678011464 1101768629 1356022928 2203537258 2712045856 4407074516 8814149032 17628298064 35256596128 42708202891 85416405782 170832811564 341665623128 555206637583 683331246256 1110413275166 1366662492512 2220826550332 4441653100664 7217686288579 8883306201328 14435372577158 17766612402656 28870745154316 57741490308632 115482980617264 230965961234528