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258909488912 = 241724118712111
BaseRepresentation
bin1111000100100000110…
…1010100011100010000
3220202021211212210021002
43301020031110130100
513220221312121122
6314535200521132
724464006226044
oct3611015243420
9822254783232
10258909488912
119a891725128
12422183201a8
131b551b6b719
14c761bc6024
156b050b7992
hex3c48354710

258909488912 has 80 divisors (see below), whose sum is σ = 533886971904. Its totient is φ = 121211904000.

The previous prime is 258909488899. The next prime is 258909488921. The reversal of 258909488912 is 219884909852.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122646737 + ... + 122648847.

Almost surely, 2258909488912 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 258909488912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266943485952).

258909488912 is an abundant number, since it is smaller than the sum of its proper divisors (274977482992).

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

258909488912 is a wasteful number, since it uses less digits than its factorization.

258909488912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 65.

The spelling of 258909488912 in words is "two hundred fifty-eight billion, nine hundred nine million, four hundred eighty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 964 1871 1928 2111 3742 3856 4097 4222 7484 8194 8444 14968 16388 16888 29936 31807 32776 33776 35887 63614 65552 71774 127228 143548 254456 287096 450911 508751 508912 574192 901822 1017502 1803644 2035004 3607288 3949681 4070008 7214576 7665487 7899362 8140016 8648767 15330974 15798724 17297534 30661948 31597448 34595068 61323896 63194896 67144577 69190136 122647792 134289154 138380272 268578308 537156616 951873121 1074313232 1903746242 3807492484 7614984968 15229969936 16181843057 32363686114 64727372228 129454744456 258909488912