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10469305824 = 2531910915261
BaseRepresentation
bin10011100000000010…
…01110110111100000
31000000121211211200120
421300001032313200
5132420120241244
64450505320240
7520303426335
oct116001166740
930017754616
1010469305824
11449271746a
122042196080
13caacb6623
1471460898c
154141b1819
hex27004ede0

10469305824 has 96 divisors (see below), whose sum is σ = 28960364160. Its totient is φ = 3302438400.

The previous prime is 10469305811. The next prime is 10469305841. The reversal of 10469305824 is 42850396401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 1987354 + ... + 1992614.

It is an arithmetic number, because the mean of its divisors is an integer number (301670460).

Almost surely, 210469305824 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 10469305824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480182080).

10469305824 is an abundant number, since it is smaller than the sum of its proper divisors (18491058336).

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

10469305824 is a wasteful number, since it uses less digits than its factorization.

10469305824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10469305824 in words is "ten billion, four hundred sixty-nine million, three hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1091 1824 2182 3273 4364 5261 6546 8728 10522 13092 15783 17456 20729 21044 26184 31566 34912 41458 42088 52368 62187 63132 82916 84176 99959 104736 124374 126264 165832 168352 199918 248748 252528 299877 331664 399836 497496 505056 599754 663328 799672 994992 1199508 1599344 1989984 2399016 3198688 4798032 5739751 9596064 11479502 17219253 22959004 34438506 45918008 68877012 91836016 109055269 137754024 183672032 218110538 275508048 327165807 436221076 551016096 654331614 872442152 1308663228 1744884304 2617326456 3489768608 5234652912 10469305824