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258110738116 = 227211232992
BaseRepresentation
bin1111000001100010011…
…0010100111011000100
3220200020011220001011021
43300120212110323010
513212102322104431
6314324024520524
724435140034400
oct3603046247304
9820204801137
10258110738116
119a511867900
1242034920144
131b45553530a
14c6c7aa4100
156aa9ddab11
hex3c18994ec4

258110738116 has 81 divisors (see below), whose sum is σ = 577724561967. Its totient is φ = 100532142480.

The previous prime is 258110738101. The next prime is 258110738203. The reversal of 258110738116 is 611837011852.

The square root of 258110738116 is 508046.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78237435 + ... + 78240733.

Almost surely, 2258110738116 is an apocalyptic number.

258110738116 is the 508046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258110738116

258110738116 is an abundant number, since it is smaller than the sum of its proper divisors (319613823851).

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

258110738116 is an equidigital number, since it uses as much as digits as its factorization.

258110738116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

Adding to 258110738116 its reverse (611837011852), we get a palindrome (869947749968).

The spelling of 258110738116 in words is "two hundred fifty-eight billion, one hundred ten million, seven hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3299 3388 5929 6598 11858 13196 23093 23716 36289 46186 72578 92372 145156 161651 254023 323302 399179 508046 646604 798358 1016092 1596716 1778161 2794253 3556322 5588506 7112644 10883401 11177012 19559771 21766802 39119542 43533604 76183807 78239084 119717411 152367614 239434822 304735228 478869644 533286649 838021877 1066573298 1316891521 1676043754 2133146596 2633783042 3352087508 5267566084 5866153139 9218240647 11732306278 18436481294 23464612556 36872962588 64527684529 129055369058 258110738116