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230165032166016 = 2732953101389231
BaseRepresentation
bin110100010101010101111000…
…111110110110001010000000
31010011221120011211110111002120
4310111111320332312022000
5220132010441213303031
62133304204524444240
766323606030204133
oct6425257076661200
91104846154414076
10230165032166016
11673794952a4352
12219936376a9680
139b5761437946c
1440ba092d5a21a
151b921c24b2a96
hexd15578fb6280

230165032166016 has 128 divisors (see below), whose sum is σ = 632471328518400. Its totient is φ = 74074516992000.

The previous prime is 230165032165927. The next prime is 230165032166053. The reversal of 230165032166016 is 610661230561032.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 591138121 + ... + 591527351.

It is an arithmetic number, because the mean of its divisors is an integer number (4941182254050).

Almost surely, 2230165032166016 is an apocalyptic number.

It is an amenable number.

230165032166016 is an abundant number, since it is smaller than the sum of its proper divisors (402306296352384).

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

230165032166016 is a wasteful number, since it uses less digits than its factorization.

230165032166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442378 (or 442366 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 230165032166016 in words is "two hundred thirty trillion, one hundred sixty-five billion, thirty-two million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 53101 106202 159303 212404 318606 389231 424808 637212 778462 849616 1167693 1274424 1539929 1556924 1699232 2335386 2548848 3079858 3113848 3398464 4619787 4670772 5097696 6159716 6227696 6796928 9239574 9341544 10195392 11287699 12319432 12455392 18479148 18683088 20390784 22575398 24638864 24910784 33863097 36958296 37366176 45150796 49277728 49821568 67726194 73916592 74732352 90301592 98555456 135452388 147833184 149464704 180603184 197110912 270904776 295666368 361206368 541809552 591332736 722412736 1083619104 1444825472 2167238208 4334476416 20668555331 41337110662 62005665993 82674221324 124011331986 165348442648 248022663972 330696885296 496045327944 599388104599 661393770592 992090655888 1198776209198 1322787541184 1798164313797 1984181311776 2397552418396 2645575082368 3596328627594 3968362623552 4795104836792 7192657255188 7936725247104 9590209673584 14385314510376 19180419347168 28770629020752 38360838694336 57541258041504 76721677388672 115082516083008 230165032166016