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10163933808 = 2437531015651
BaseRepresentation
bin10010111011101000…
…10101001001110000
3222020100020100000220
421131310111021300
5131303431340213
64400320213040
7506605004040
oct113564251160
928210210026
1010163933808
1143463039a6
121b77a6a180
13c5c957622
146c5c37720
153e7490e23
hex25dd15270

10163933808 has 160 divisors (see below), whose sum is σ = 30882166272. Its totient is φ = 2820480000.

The previous prime is 10163933797. The next prime is 10163933827. The reversal of 10163933808 is 80833936101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10163933808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795783 + ... + 1801433.

Almost surely, 210163933808 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 10163933808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441083136).

10163933808 is an abundant number, since it is smaller than the sum of its proper divisors (20718232464).

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

10163933808 is a wasteful number, since it uses less digits than its factorization.

10163933808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

It can be divided in two parts, 1016393 and 3808, that added together give a palindrome (1020201).

The spelling of 10163933808 in words is "ten billion, one hundred sixty-three million, nine hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 101 106 112 159 168 202 212 303 318 336 371 404 424 606 636 707 742 808 848 1113 1212 1272 1414 1484 1616 2121 2226 2424 2544 2828 2968 4242 4452 4848 5353 5651 5656 5936 8484 8904 10706 11302 11312 16059 16953 16968 17808 21412 22604 32118 33906 33936 37471 39557 42824 45208 64236 67812 74942 79114 85648 90416 112413 118671 128472 135624 149884 158228 224826 237342 256944 271248 299503 299768 316456 449652 474684 570751 599006 599536 632912 898509 899304 949368 1141502 1198012 1712253 1797018 1798608 1898736 2096521 2283004 2396024 3424506 3594036 3995257 4193042 4566008 4792048 6289563 6849012 7188072 7990514 8386084 9132016 11985771 12579126 13698024 14376144 15981028 16772168 23971542 25158252 27396048 30249803 31962056 33544336 47943084 50316504 60499606 63924112 90749409 95886168 100633008 120999212 181498818 191772336 211748621 241998424 362997636 423497242 483996848 635245863 725995272 846994484 1270491726 1451990544 1693988968 2540983452 3387977936 5081966904 10163933808