Search a number
-
+
10578742580 = 2257530314249
BaseRepresentation
bin10011101101000101…
…01100110100110100
31000022020202210200202
421312202230310310
5133131124230310
64505415100032
7523102554050
oct116642546464
930266683622
1010578742580
11453947396a
122072971618
13cc78824c3
14724d74c60
1541dacc3a5
hex2768acd34

10578742580 has 48 divisors (see below), whose sum is σ = 25395552000. Its totient is φ = 3626059008.

The previous prime is 10578742561. The next prime is 10578742589. The reversal of 10578742580 is 8524787501.

10578742580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105787425802 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10578742589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 735296 + ... + 749544.

It is an arithmetic number, because the mean of its divisors is an integer number (529074000).

Almost surely, 210578742580 is an apocalyptic number.

10578742580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10578742580 is an abundant number, since it is smaller than the sum of its proper divisors (14816809420).

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

10578742580 is a wasteful number, since it uses less digits than its factorization.

10578742580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19568 (or 19566 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 47.

The spelling of 10578742580 in words is "ten billion, five hundred seventy-eight million, seven hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 5303 10606 14249 21212 26515 28498 37121 53030 56996 71245 74242 99743 106060 142490 148484 185605 199486 284980 371210 398972 498715 742420 997430 1994860 75562447 151124894 302249788 377812235 528937129 755624470 1057874258 1511248940 2115748516 2644685645 5289371290 10578742580