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10161464240 = 245832695689
BaseRepresentation
bin10010111011010101…
…11010001110110000
3222020011120212102102
421131222322032300
5131302313323430
64400151235532
7506545010114
oct113552721660
928204525372
1010161464240
114344977534
121b77078ba8
13c5c2a1545
146c5793744
153e7154345
hex25daba3b0

10161464240 has 80 divisors (see below), whose sum is σ = 24003151200. Its totient is φ = 3999983616.

The previous prime is 10161464237. The next prime is 10161464267. The reversal of 10161464240 is 4246416101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783316 + ... + 1789004.

It is an arithmetic number, because the mean of its divisors is an integer number (300039390).

Almost surely, 210161464240 is an apocalyptic number.

10161464240 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 10161464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001575600).

10161464240 is an abundant number, since it is smaller than the sum of its proper divisors (13841686960).

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

10161464240 is a wasteful number, since it uses less digits than its factorization.

10161464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10161464240 in words is "ten billion, one hundred sixty-one million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 269 332 415 538 664 830 1076 1328 1345 1660 2152 2690 3320 4304 5380 5689 6640 10760 11378 21520 22327 22756 28445 44654 45512 56890 89308 91024 111635 113780 178616 223270 227560 357232 446540 455120 472187 893080 944374 1530341 1786160 1888748 2360935 3060682 3777496 4721870 6121364 7554992 7651705 9443740 12242728 15303410 18887480 24485456 30606820 37774960 61213640 122427280 127018303 254036606 508073212 635091515 1016146424 1270183030 2032292848 2540366060 5080732120 10161464240