Search a number
-
+
291286749072 = 243112397247279
BaseRepresentation
bin1000011110100100000…
…10110000111110010000
31000211212021102000111210
410033102002300332100
514233023401432242
6341452033540120
730021233341404
oct4172202607620
91024767360453
10291286749072
11102596859980
1248553414640
13216118b9c27
1410153c51104
15789c774d9c
hex43d20b0f90

291286749072 has 160 divisors (see below), whose sum is σ = 865424609280. Its totient is φ = 83560181760.

The previous prime is 291286749029. The next prime is 291286749079. The reversal of 291286749072 is 270947682192.

It is a super-2 number, since 2×2912867490722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (291286749079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054329 + ... + 1301607.

It is an arithmetic number, because the mean of its divisors is an integer number (5408903808).

Almost surely, 2291286749072 is an apocalyptic number.

291286749072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 291286749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432712304640).

291286749072 is an abundant number, since it is smaller than the sum of its proper divisors (574137860208).

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

291286749072 is a wasteful number, since it uses less digits than its factorization.

291286749072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247421 (or 247415 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 291286749072 in words is "two hundred ninety-one billion, two hundred eighty-six million, seven hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 97 132 138 176 184 194 253 264 276 291 368 388 506 528 552 582 759 776 1012 1067 1104 1164 1518 1552 2024 2134 2231 2328 3036 3201 4048 4268 4462 4656 6072 6402 6693 8536 8924 12144 12804 13386 17072 17848 24541 25608 26772 35696 49082 51216 53544 73623 98164 107088 147246 196328 247279 294492 392656 494558 588984 741837 989116 1177968 1483674 1978232 2720069 2967348 3956464 5440138 5687417 5934696 8160207 10880276 11374834 11869392 16320414 17062251 21760552 22749668 23986063 32640828 34124502 43521104 45499336 47972126 62561587 65281656 68249004 71958189 90998672 95944252 125123174 130563312 136498008 143916378 187684761 191888504 250246348 263846693 272996016 287832756 375369522 383777008 500492696 527693386 551679449 575665512 750739044 791540079 1000985392 1055386772 1103358898 1151331024 1501478088 1583080158 1655038347 2110773544 2206717796 3002956176 3166160316 3310076694 4221547088 4413435592 6068473939 6332320632 6620153388 8826871184 12136947878 12664641264 13240306776 18205421817 24273895756 26480613552 36410843634 48547791512 72821687268 97095583024 145643374536 291286749072