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9060968672 = 257219319811
BaseRepresentation
bin10000111000001001…
…10110100011100000
3212101110210220022022
420130010312203200
5122024101444142
64055040001012
7440352651200
oct103404664340
925343726268
109060968672
11392a753968
12190a600168
13b152a9132
1461d566400
153807216d2
hex21c1368e0

9060968672 has 144 divisors (see below), whose sum is σ = 22550330880. Its totient is φ = 3559852800.

The previous prime is 9060968663. The next prime is 9060968701. The reversal of 9060968672 is 2768690609.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918647 + ... + 928457.

It is an arithmetic number, because the mean of its divisors is an integer number (156599520).

Almost surely, 29060968672 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 9060968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275165440).

9060968672 is an abundant number, since it is smaller than the sum of its proper divisors (13489362208).

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

9060968672 is a wasteful number, since it uses less digits than its factorization.

9060968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9885 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 9060968672 is about 95189.1205548197. The cubic root of 9060968672 is about 2084.7702915431.

The spelling of 9060968672 in words is "nine billion, sixty million, nine hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 266 304 392 434 496 532 589 608 784 868 931 992 1064 1178 1519 1568 1736 1862 2128 2356 3038 3472 3724 4123 4256 4712 6076 6944 7448 8246 9424 9811 12152 14896 16492 18848 19622 24304 28861 29792 32984 39244 48608 57722 65968 68677 78488 115444 131936 137354 156976 186409 230888 274708 304141 313952 372818 461776 480739 549416 608282 745636 923552 961478 1098832 1216564 1304863 1491272 1922956 2128987 2197664 2433128 2609726 2982544 3845912 4257974 4866256 5219452 5778679 5965088 7691824 8515948 9134041 9732512 10438904 11557358 14902909 15383648 17031896 18268082 20877808 23114716 29805818 34063792 36536164 40450753 41755616 46229432 59611636 68127584 73072328 80901506 92458864 119223272 146144656 161803012 184917728 238446544 283155271 292289312 323606024 476893088 566310542 647212048 1132621084 1294424096 2265242168 4530484336 9060968672