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9116021040 = 2435740913267
BaseRepresentation
bin10000111110101101…
…10111000100110000
3212112022101211221220
420133112313010300
5122132200133130
64104323545040
7441621620550
oct103726670460
925468354856
109116021040
113958835595
121924b2b180
13b238130b9
146269b7160
15385498410
hex21f5b7130

9116021040 has 160 divisors (see below), whose sum is σ = 32378165760. Its totient is φ = 2078410752.

The previous prime is 9116020973. The next prime is 9116021063. The reversal of 9116021040 is 401206119.

9116021040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 9116021040.

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 31 ways as a sum of consecutive naturals, for example, 680487 + ... + 693753.

It is an arithmetic number, because the mean of its divisors is an integer number (202363536).

Almost surely, 29116021040 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 9116021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189082880).

9116021040 is an abundant number, since it is smaller than the sum of its proper divisors (23262144720).

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

9116021040 is a wasteful number, since it uses less digits than its factorization.

9116021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 9116021040 is about 95477.8562809199. The cubic root of 9116021040 is about 2088.9839646798.

Adding to 9116021040 its reverse (401206119), we get a palindrome (9517227159).

The spelling of 9116021040 in words is "nine billion, one hundred sixteen million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 409 420 560 818 840 1227 1636 1680 2045 2454 2863 3272 4090 4908 5726 6135 6544 8180 8589 9816 11452 12270 13267 14315 16360 17178 19632 22904 24540 26534 28630 32720 34356 39801 42945 45808 49080 53068 57260 66335 68712 79602 85890 92869 98160 106136 114520 132670 137424 159204 171780 185738 199005 212272 229040 265340 278607 318408 343560 371476 398010 464345 530680 557214 636816 687120 742952 796020 928690 1061360 1114428 1393035 1485904 1592040 1857380 2228856 2786070 3184080 3714760 4457712 5426203 5572140 7429520 10852406 11144280 16278609 21704812 22288560 27131015 32557218 37983421 43409624 54262030 65114436 75966842 81393045 86819248 108524060 113950263 130228872 151933684 162786090 189917105 217048120 227900526 260457744 303867368 325572180 379834210 434096240 455801052 569751315 607734736 651144360 759668420 911602104 1139502630 1302288720 1519336840 1823204208 2279005260 3038673680 4558010520 9116021040