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258016340076 = 223117326776291
BaseRepresentation
bin1111000001001011111…
…0001110100001101100
3220122222121021010101120
43300102332032201230
513211404140340301
6314310413340540
724432612463425
oct3602276164154
9818877233346
10258016340076
119a4735521a0
1242009197750
131b43bb035a1
14c6b933064c
156aa1990e36
hex3c12f8e86c

258016340076 has 48 divisors (see below), whose sum is σ = 665765724288. Its totient is φ = 77115715200.

The previous prime is 258016340051. The next prime is 258016340111. The reversal of 258016340076 is 670043610852.

258016340076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 13378510 + ... + 13397781.

It is an arithmetic number, because the mean of its divisors is an integer number (13870119256).

Almost surely, 2258016340076 is an apocalyptic number.

It is an amenable number.

258016340076 is an abundant number, since it is smaller than the sum of its proper divisors (407749384212).

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

258016340076 is a wasteful number, since it uses less digits than its factorization.

258016340076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26776382 (or 26776380 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 258016340076 in words is "two hundred fifty-eight billion, sixteen million, three hundred forty thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 26776291 53552582 80328873 107105164 160657746 294539201 321315492 589078402 883617603 1178156804 1767235206 1954669243 3534470412 3909338486 5864007729 7818676972 11728015458 21501361673 23456030916 43002723346 64504085019 86005446692 129008170038 258016340076