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10160000384 = 27978111009
BaseRepresentation
bin10010111011001010…
…10100110110000000
3222020001211111101112
421131211110312000
5131301430003014
64400100022452
7506526402242
oct113545246600
928201744345
1010160000384
114344067736
121b76691a28
13c5bbab161
146c54d2092
153e6e6573e
hex25d954d80

10160000384 has 64 divisors (see below), whose sum is σ = 20494798800. Its totient is φ = 5016453120.

The previous prime is 10160000341. The next prime is 10160000393. The reversal of 10160000384 is 48300006101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10068872 + ... + 10069880.

Almost surely, 210160000384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247399400).

10160000384 is an abundant number, since it is smaller than the sum of its proper divisors (10334798416).

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

10160000384 is an equidigital number, since it uses as much as digits as its factorization.

10160000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10160000384 its reverse (48300006101), we get a palindrome (58460006485).

The spelling of 10160000384 in words is "ten billion, one hundred sixty million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 811 1009 1552 1622 2018 3104 3244 4036 6208 6488 8072 12416 12976 16144 25952 32288 51904 64576 78667 97873 103808 129152 157334 195746 314668 391492 629336 782984 818299 1258672 1565968 1636598 2517344 3131936 3273196 5034688 6263872 6546392 10069376 12527744 13092784 26185568 52371136 79375003 104742272 158750006 317500012 635000024 1270000048 2540000096 5080000192 10160000384