Search a number
-
+
9948718404 = 22365364373
BaseRepresentation
bin10010100001111110…
…10110010101000100
3221200100021021000000
421100333112111010
5130333332442104
64323111321300
7501352465632
oct112077262504
927610237000
109948718404
114245879429
121b17980230
13c271a3931
146a5414352
153d362d639
hex250fd6544

9948718404 has 84 divisors (see below), whose sum is σ = 26596375596. Its totient is φ = 3253618368.

The previous prime is 9948718399. The next prime is 9948718447. The reversal of 9948718404 is 4048178499.

It can be written as a sum of positive squares in 2 ways, for example, as 7586758404 + 2361960000 = 87102^2 + 48600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 122362 + ... + 186734.

It is an arithmetic number, because the mean of its divisors is an integer number (316623519).

Almost surely, 29948718404 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 9948718404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298187798).

9948718404 is an abundant number, since it is smaller than the sum of its proper divisors (16647657192).

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

9948718404 is a wasteful number, since it uses less digits than its factorization.

9948718404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64448 (or 64431 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 9948718404 is about 99743.2624491499. The cubic root of 9948718404 is about 2150.7456151260.

The spelling of 9948718404 in words is "nine billion, nine hundred forty-eight million, seven hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 729 954 972 1431 1458 1908 2862 2916 4293 5724 8586 12879 17172 25758 38637 51516 64373 77274 128746 154548 193119 257492 386238 579357 772476 1158714 1738071 2317428 3411769 3476142 5214213 6823538 6952284 10235307 10428426 13647076 15642639 20470614 20856852 30705921 31285278 40941228 46927917 61411842 62570556 92117763 93855834 122823684 184235526 187711668 276353289 368471052 552706578 829059867 1105413156 1658119734 2487179601 3316239468 4974359202 9948718404