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9928171104 = 2533112492671
BaseRepresentation
bin10010011111100001…
…11101111001100000
3221121220121100101220
421033300331321200
5130313102433404
64321055055040
7501013030155
oct111760757140
927556540356
109928171104
114235214995
121b10b11480
13c22b5b377
146a27c622c
153d19204d9
hex24fc3de60

9928171104 has 96 divisors (see below), whose sum is σ = 26933760000. Its totient is φ = 3198873600.

The previous prime is 9928171091. The next prime is 9928171109. The reversal of 9928171104 is 4011718299.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928171109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3715689 + ... + 3718359.

It is an arithmetic number, because the mean of its divisors is an integer number (280560000).

Almost surely, 29928171104 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 9928171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466880000).

9928171104 is an abundant number, since it is smaller than the sum of its proper divisors (17005588896).

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

9928171104 is a wasteful number, since it uses less digits than its factorization.

9928171104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 9928171104 is about 99640.2082695535. The cubic root of 9928171104 is about 2149.2639343671.

The spelling of 9928171104 in words is "nine billion, nine hundred twenty-eight million, one hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1249 1488 2498 2671 2976 3747 4996 5342 7494 8013 9992 10684 14988 16026 19984 21368 29976 32052 38719 39968 42736 59952 64104 77438 82801 85472 116157 119904 128208 154876 165602 232314 248403 256416 309752 331204 464628 496806 619504 662408 929256 993612 1239008 1324816 1858512 1987224 2649632 3336079 3717024 3974448 6672158 7948896 10008237 13344316 20016474 26688632 40032948 53377264 80065896 103418449 106754528 160131792 206836898 310255347 320263584 413673796 620510694 827347592 1241021388 1654695184 2482042776 3309390368 4964085552 9928171104