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10848258008 = 2371763118059
BaseRepresentation
bin10100001101001101…
…10100011111011000
31001000000220121100122
422012212310133120
5134204123224013
64552243452412
7532554446240
oct120646643730
931000817318
1010848258008
114667616895
122129087108
13103b6688a3
1474ca90b20
154375b8a08
hex2869b47d8

10848258008 has 64 divisors (see below), whose sum is σ = 24654067200. Its totient is φ = 4368591360.

The previous prime is 10848258007. The next prime is 10848258011. The reversal of 10848258008 is 80085284801.

It is a happy number.

10848258008 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 2×108482580082 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10848258008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10848258007) 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, 591683 + ... + 609741.

It is an arithmetic number, because the mean of its divisors is an integer number (385219800).

Almost surely, 210848258008 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 10848258008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327033600).

10848258008 is an abundant number, since it is smaller than the sum of its proper divisors (13805809192).

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

10848258008 is a wasteful number, since it uses less digits than its factorization.

10848258008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 18716 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The spelling of 10848258008 in words is "ten billion, eight hundred forty-eight million, two hundred fifty-eight thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 631 952 1262 2524 4417 5048 8834 10727 17668 18059 21454 35336 36118 42908 72236 75089 85816 126413 144472 150178 252826 300356 307003 505652 600712 614006 1011304 1228012 2149021 2456024 4298042 8596084 11395229 17192168 22790458 45580916 79766603 91161832 159533206 193718893 319066412 387437786 638132824 774875572 1356032251 1549751144 2712064502 5424129004 10848258008