Search a number
-
+
9074933672 = 2372191737043
BaseRepresentation
bin10000111001110100…
…00111111110101000
3212102110002101200112
420130322013332220
5122041140334142
64100255153452
7440612443400
oct103472077650
925373071615
109074933672
113937621a92
121913215888
13b1815864c
1462135d800
15381a7e382
hex21ce87fa8

9074933672 has 96 divisors (see below), whose sum is σ = 20958717600. Its totient is φ = 3662741376.

The previous prime is 9074933671. The next prime is 9074933687. The reversal of 9074933672 is 2763394709.

It is a self number, because there is not a number n which added to its sum of digits gives 9074933672.

It is not an unprimeable number, because it can be changed into a prime (9074933671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284983 + ... + 1292025.

It is an arithmetic number, because the mean of its divisors is an integer number (218319975).

Almost surely, 29074933672 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 9074933672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479358800).

9074933672 is an abundant number, since it is smaller than the sum of its proper divisors (11883783928).

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

9074933672 is a wasteful number, since it uses less digits than its factorization.

9074933672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 50.

The square root of 9074933672 is about 95262.4462839371. The cubic root of 9074933672 is about 2085.8407757992.

It can be divided in two parts, 90749 and 33672, that added together give a palindrome (124421).

The spelling of 9074933672 in words is "nine billion, seventy-four million, nine hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 173 196 266 346 392 532 692 931 1064 1211 1384 1862 2422 3287 3724 4844 6574 7043 7448 8477 9688 13148 14086 16954 23009 26296 28172 33908 46018 49301 56344 67816 92036 98602 133817 161063 184072 197204 267634 322126 345107 394408 535268 644252 690214 936719 1070536 1218439 1288504 1380428 1873438 2436878 2760856 3746876 4873756 6557033 7493752 8529073 9747512 13114066 17058146 23150341 26228132 34116292 46300682 52456264 59703511 68232584 92601364 119407022 162052387 185202728 238814044 324104774 477628088 648209548 1134366709 1296419096 2268733418 4537466836 9074933672