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258292987212 = 2231319175349711
BaseRepresentation
bin1111000010001101110…
…1100011010101001100
3220200200212211020220210
43300203131203111030
513212441001042322
6314354055042420
724442512111021
oct3604335432514
9820625736823
10258292987212
119a5a5726297
1242085970410
131b484215b10
14c703d85548
156abadda70c
hex3c2376354c

258292987212 has 96 divisors (see below), whose sum is σ = 683607608320. Its totient is φ = 75247418880.

The previous prime is 258292987177. The next prime is 258292987229. The reversal of 258292987212 is 212789292852.

258292987212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5171037 + ... + 5220747.

Almost surely, 2258292987212 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 258292987212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341803804160).

258292987212 is an abundant number, since it is smaller than the sum of its proper divisors (425314621108).

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

258292987212 is a wasteful number, since it uses less digits than its factorization.

258292987212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51503 (or 51501 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 258292987212 in words is "two hundred fifty-eight billion, two hundred ninety-two million, nine hundred eighty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 1753 2964 3506 5259 7012 10518 21036 22789 33307 45578 49711 66614 68367 91156 99422 99921 133228 136734 149133 198844 199842 273468 298266 399684 432991 596532 646243 865982 944509 1292486 1298973 1731964 1889018 1938729 2584972 2597946 2833527 3778036 3877458 5195892 5667054 7754916 11334108 12278617 24557234 36835851 49114468 73671702 87143383 147343404 174286766 261430149 348573532 522860298 1045720596 1132863979 1655724277 2265727958 3311448554 3398591937 4531455916 4967172831 6622897108 6797183874 9934345662 13594367748 19868691324 21524415601 43048831202 64573246803 86097662404 129146493606 258292987212