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9741324852 = 2232731941521
BaseRepresentation
bin10010001001010000…
…01101001000110100
3221010220000120112100
421010220031020310
5124422234343402
64250342222100
7463253616000
oct110450151064
927126016470
109741324852
1141497a65a6
121a7a424930
13bc322b25c
14685a69700
153c031371c
hex244a0d234

9741324852 has 144 divisors (see below), whose sum is σ = 30228016000. Its totient is φ = 2636686080.

The previous prime is 9741324851. The next prime is 9741324869. The reversal of 9741324852 is 2584231479.

It is a junction number, because it is equal to n+sod(n) for n = 9741324798 and 9741324807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9741324851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213852 + ... + 255372.

Almost surely, 29741324852 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 9741324852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114008000).

9741324852 is an abundant number, since it is smaller than the sum of its proper divisors (20486691148).

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

9741324852 is a wasteful number, since it uses less digits than its factorization.

9741324852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41571 (or 41552 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 9741324852 is about 98698.1501954317. The cubic root of 9741324852 is about 2135.6955469155.

It can be divided in two parts, 97413 and 24852, that added together give a triangular number (122265 = T494).

The spelling of 9741324852 in words is "nine billion, seven hundred forty-one million, three hundred twenty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 343 399 441 532 588 684 686 798 882 931 1029 1197 1372 1596 1764 1862 2058 2394 2793 3087 3724 4116 4788 5586 6174 6517 8379 11172 12348 13034 16758 19551 26068 33516 39102 41521 58653 78204 83042 117306 124563 166084 234612 249126 290647 373689 498252 581294 747378 788899 871941 1162588 1494756 1577798 1743882 2034529 2366697 2615823 3155596 3487764 4069058 4733394 5231646 5522293 6103587 7100091 8138116 9466788 10463292 11044586 12207174 14200182 14241703 16566879 18310761 22089172 24414348 28400364 28483406 33133758 36621522 38656051 42725109 49700637 56966812 66267516 73243044 77312102 85450218 99401274 115968153 128175327 154624204 170900436 198802548 231936306 256350654 270592357 347904459 463872612 512701308 541184714 695808918 811777071 1082369428 1391617836 1623554142 2435331213 3247108284 4870662426 9741324852