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10838246980 = 22511176147507
BaseRepresentation
bin10100001100000001…
…01000011001000100
31000222100001222210211
422012000220121010
5134144042400410
64551245125204
7532403402461
oct120600503104
930870058724
1010838246980
1146619a9410
122125859804
131039571cc2
1474b606668
1543678c68a
hex286028644

10838246980 has 96 divisors (see below), whose sum is σ = 26721539712. Its totient is φ = 3648460800.

The previous prime is 10838246971. The next prime is 10838246981. The reversal of 10838246980 is 8964283801.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10838246981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204387 + ... + 251893.

It is an arithmetic number, because the mean of its divisors is an integer number (278349372).

Almost surely, 210838246980 is an apocalyptic number.

10838246980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838246980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360769856).

10838246980 is an abundant number, since it is smaller than the sum of its proper divisors (15883292732).

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

10838246980 is a wasteful number, since it uses less digits than its factorization.

10838246980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47605 (or 47603 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 10838246980 in words is "ten billion, eight hundred thirty-eight million, two hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 61 68 85 110 122 170 187 220 244 305 340 374 610 671 748 935 1037 1220 1342 1870 2074 2684 3355 3740 4148 5185 6710 10370 11407 13420 20740 22814 45628 47507 57035 95014 114070 190028 228140 237535 475070 522577 807619 950140 1045154 1615238 2090308 2612885 2897927 3230476 4038095 5225770 5795854 8076190 8883809 10451540 11591708 14489635 16152380 17767618 28979270 31877197 35535236 44419045 49264759 57958540 63754394 88838090 98529518 127508788 159385985 177676180 197059036 246323795 318771970 492647590 541912349 637543940 985295180 1083824698 2167649396 2709561745 5419123490 10838246980