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10848665040 = 2435322913999
BaseRepresentation
bin10100001101010000…
…10111110111010000
31001000001200021200220
422012220113313100
5134204224240130
64552300313040
7532561063023
oct120650276720
931001607626
1010848665040
114667874684
122129242780
13103b77bc35
1474cb591ba
15437649410
hex286a17dd0

10848665040 has 80 divisors (see below), whose sum is σ = 33643680000. Its totient is φ = 2891874816.

The previous prime is 10848664999. The next prime is 10848665041. The reversal of 10848665040 is 4056684801.

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

It is a junction number, because it is equal to n+sod(n) for n = 10848664983 and 10848665001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10848665041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767961 + ... + 781959.

It is an arithmetic number, because the mean of its divisors is an integer number (420546000).

Almost surely, 210848665040 is an apocalyptic number.

10848665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10848665040 is an abundant number, since it is smaller than the sum of its proper divisors (22795014960).

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

10848665040 is a wasteful number, since it uses less digits than its factorization.

10848665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 10848665040 in words is "ten billion, eight hundred forty-eight million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3229 6458 9687 12916 13999 16145 19374 25832 27998 32290 38748 41997 48435 51664 55996 64580 69995 77496 83994 96870 111992 129160 139990 154992 167988 193740 209985 223984 258320 279980 335976 387480 419970 559960 671952 774960 839940 1119920 1679880 3359760 45202771 90405542 135608313 180811084 226013855 271216626 361622168 452027710 542433252 678041565 723244336 904055420 1084866504 1356083130 1808110840 2169733008 2712166260 3616221680 5424332520 10848665040