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10862389680 = 2435192382103
BaseRepresentation
bin10100001110111001…
…01110100110110000
31001001000111120100220
422013130232212300
5134221232432210
64553510413040
7533115534402
oct120734564660
931030446326
1010862389680
11467459915a
122131961180
131041575c1c
147508ccb72
1543895ac70
hex28772e9b0

10862389680 has 80 divisors (see below), whose sum is σ = 35445707520. Its totient is φ = 2744181504.

The previous prime is 10862389679. The next prime is 10862389687. The reversal of 10862389680 is 8698326801.

10862389680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10862389687) 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, 1186492 + ... + 1195611.

It is an arithmetic number, because the mean of its divisors is an integer number (443071344).

Almost surely, 210862389680 is an apocalyptic number.

10862389680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10862389680 is an abundant number, since it is smaller than the sum of its proper divisors (24583317840).

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

10862389680 is a wasteful number, since it uses less digits than its factorization.

10862389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382138 (or 2382132 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10862389680 in words is "ten billion, eight hundred sixty-two million, three hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2382103 4764206 7146309 9528412 11910515 14292618 19056824 23821030 28585236 35731545 38113648 45259957 47642060 57170472 71463090 90519914 95284120 114340944 135779871 142926180 181039828 190568240 226299785 271559742 285852360 362079656 452599570 543119484 571704720 678899355 724159312 905199140 1086238968 1357798710 1810398280 2172477936 2715597420 3620796560 5431194840 10862389680