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10878400840 = 235614458361
BaseRepresentation
bin10100010000110011…
…10011100101001000
31001002010122000112211
422020121303211020
5134234332311330
64555241514504
7533401611226
oct121031634510
931063560484
1010878400840
11468263461a
1221371a2a34
131044990898
14752a99b16
1543a06ed2a
hex288673948

10878400840 has 32 divisors (see below), whose sum is σ = 24877659960. Its totient is φ = 4280025600.

The previous prime is 10878400829. The next prime is 10878400843. The reversal of 10878400840 is 4800487801.

It can be written as a sum of positive squares in 4 ways, for example, as 2680547076 + 8197853764 = 51774^2 + 90542^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10878400793 and 10878400802.

It is not an unprimeable number, because it can be changed into a prime (10878400843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2226741 + ... + 2231620.

Almost surely, 210878400840 is an apocalyptic number.

10878400840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10878400840 is an abundant number, since it is smaller than the sum of its proper divisors (13999259120).

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

10878400840 is a wasteful number, since it uses less digits than its factorization.

10878400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458433 (or 4458429 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 10878400840 in words is "ten billion, eight hundred seventy-eight million, four hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4458361 8916722 17833444 22291805 35666888 44583610 89167220 178334440 271960021 543920042 1087840084 1359800105 2175680168 2719600210 5439200420 10878400840