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9051263680 = 265535031061
BaseRepresentation
bin10000110110111111…
…10101001011000000
3212100210112211120011
420123133311023000
5122014110414210
64054051554304
7440204320564
oct103337651300
925323484504
109051263680
113925225408
1219072bb994
13b1328b934
1461c15b6a4
1537e955d8a
hex21b7f52c0

9051263680 has 112 divisors (see below), whose sum is σ = 22024384704. Its totient is φ = 3541790720.

The previous prime is 9051263671. The next prime is 9051263717. The reversal of 9051263680 is 863621509.

9051263680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×90512636803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530350 + ... + 8531410.

It is an arithmetic number, because the mean of its divisors is an integer number (196646292).

Almost surely, 29051263680 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 9051263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11012192352).

9051263680 is an abundant number, since it is smaller than the sum of its proper divisors (12973121024).

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

9051263680 is a wasteful number, since it uses less digits than its factorization.

9051263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 9051263680 is about 95138.1294749902. The cubic root of 9051263680 is about 2084.0257093828.

The spelling of 9051263680 in words is "nine billion, fifty-one million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 503 530 848 1006 1060 1061 1696 2012 2120 2122 2515 3392 4024 4240 4244 5030 5305 8048 8480 8488 10060 10610 16096 16960 16976 20120 21220 26659 32192 33952 40240 42440 53318 56233 67904 80480 84880 106636 112466 133295 160960 169760 213272 224932 266590 281165 339520 426544 449864 533180 533683 562330 853088 899728 1066360 1067366 1124660 1706176 1799456 2132720 2134732 2249320 2668415 3598912 4265440 4269464 4498640 5336830 8530880 8538928 8997280 10673660 17077856 17994560 21347320 28285199 34155712 42694640 56570398 85389280 113140796 141425995 170778560 226281592 282851990 452563184 565703980 905126368 1131407960 1810252736 2262815920 4525631840 9051263680