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10280780424 = 2332612340797
BaseRepresentation
bin10011001001100100…
…00100001010001000
3222112111002202110100
421210302010022020
5132023334433144
64420052445400
7512524122525
oct114462041210
928474082410
1010280780424
1143a6261552
121bab019860
13c7ac19135
146d757214c
15402872269
hex264c84288

10280780424 has 48 divisors (see below), whose sum is σ = 28300247820. Its totient is φ = 3370746240.

The previous prime is 10280780383. The next prime is 10280780501. The reversal of 10280780424 is 42408708201.

It can be written as a sum of positive squares in 2 ways, for example, as 6323112324 + 3957668100 = 79518^2 + 62910^2 .

It is a super-2 number, since 2×102807804242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166007 + ... + 1174790.

Almost surely, 210280780424 is an apocalyptic number.

It is an amenable number.

10280780424 is an abundant number, since it is smaller than the sum of its proper divisors (18019467396).

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

10280780424 is a wasteful number, since it uses less digits than its factorization.

10280780424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340870 (or 2340863 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10280780424 in words is "ten billion, two hundred eighty million, seven hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 2340797 4681594 7022391 9363188 14044782 18726376 21067173 28089564 42134346 56179128 84268692 142788617 168537384 285577234 428365851 571154468 856731702 1142308936 1285097553 1713463404 2570195106 3426926808 5140390212 10280780424