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258968869852 = 227116431307633
BaseRepresentation
bin1111000100101110111…
…1110101101111011100
3220202102222121122121011
43301023233311233130
513220332012313402
6314545121345004
724465330034240
oct3611357655734
9822388548534
10258968869852
119a9121a2990
1242234198164
131b56125c984
14c769a42420
156b0a3e6ed7
hex3c4bbf5bdc

258968869852 has 48 divisors (see below), whose sum is σ = 565902150912. Its totient is φ = 100739969280.

The previous prime is 258968869813. The next prime is 258968869927.

258968869852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2589688698522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 455773 + ... + 851860.

It is an arithmetic number, because the mean of its divisors is an integer number (11789628144).

Almost surely, 2258968869852 is an apocalyptic number.

258968869852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

258968869852 is an abundant number, since it is smaller than the sum of its proper divisors (306933281060).

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

258968869852 is a wasteful number, since it uses less digits than its factorization.

258968869852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308298 (or 1308296 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 76.

The spelling of 258968869852 in words is "two hundred fifty-eight billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 643 1286 2572 4501 7073 9002 14146 18004 28292 49511 99022 198044 1307633 2615266 5230532 9153431 14383963 18306862 28767926 36613724 57535852 100687741 201375482 402750964 840808019 1681616038 3363232076 5885656133 9248888209 11771312266 18497776418 23542624532 36995552836 64742217463 129484434926 258968869852