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2589742013868 = 223464112469627
BaseRepresentation
bin100101101011111000101…
…001110001110110101100
3100011120120120111012220000
4211223320221301312230
5314412242423420433
65301413331024300
7355050135625002
oct45537051616654
910146516435800
102589742013868
11909337941599
12359aab43b090
1315a299c269a9
148d4b6616a72
15475724cc113
hex25af8a71dac

2589742013868 has 60 divisors (see below), whose sum is σ = 6780659496072. Its totient is φ = 861900549120.

The previous prime is 2589742013851. The next prime is 2589742014001. The reversal of 2589742013868 is 8683102479852.

2589742013868 is a `hidden beast` number, since 2 + 58 + 97 + 420 + 13 + 8 + 68 = 666.

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 19 ways as a sum of consecutive naturals, for example, 6027130 + ... + 6442497.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2589742013868 = 5179484027736, but 3⋅2589742013868 = 7769226041604 is not.

Almost surely, 22589742013868 is an apocalyptic number.

It is an amenable number.

2589742013868 is an abundant number, since it is smaller than the sum of its proper divisors (4190917482204).

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

2589742013868 is a wasteful number, since it uses less digits than its factorization.

2589742013868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470284 (or 12470273 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2589742013868 in words is "two trillion, five hundred eighty-nine billion, seven hundred forty-two million, thirteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 641 1282 1923 2564 3846 5769 7692 11538 17307 23076 34614 51921 69228 103842 207684 12469627 24939254 37408881 49878508 74817762 112226643 149635524 224453286 336679929 448906572 673359858 1010039787 1346719716 2020079574 4040159148 7993030907 15986061814 23979092721 31972123628 47958185442 71937278163 95916370884 143874556326 215811834489 287749112652 431623668978 647435503467 863247337956 1294871006934 2589742013868