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10008469040 = 245312130183
BaseRepresentation
bin10010101001000110…
…10001111000110000
3221211111200220110112
421110203101320300
5130444132002130
64333044120452
7503006404013
oct112443217060
927744626415
1010008469040
114276579a19
121b33996128
13c3669423b
146ad32937a
153d89d2495
hex2548d1e30

10008469040 has 60 divisors (see below), whose sum is σ = 24044724432. Its totient is φ = 3874216320.

The previous prime is 10008469039. The next prime is 10008469087. The reversal of 10008469040 is 4096480001.

It is a junction number, because it is equal to n+sod(n) for n = 10008468988 and 10008469006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11789 + ... + 141971.

Almost surely, 210008469040 is an apocalyptic number.

10008469040 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 10008469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022362216).

10008469040 is an abundant number, since it is smaller than the sum of its proper divisors (14036255392).

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

10008469040 is a wasteful number, since it uses less digits than its factorization.

10008469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130258 (or 130221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10008469040 in words is "ten billion, eight million, four hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4805 7688 9610 15376 19220 38440 76880 130183 260366 520732 650915 1041464 1301830 2082928 2603660 4035673 5207320 8071346 10414640 16142692 20178365 32285384 40356730 64570768 80713460 125105863 161426920 250211726 322853840 500423452 625529315 1000846904 1251058630 2001693808 2502117260 5004234520 10008469040