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2997117072 = 2433103193349
BaseRepresentation
bin1011001010100100…
…0110000010010000
321201212121022201000
42302221012002100
522114230221242
61213222342000
7134162034435
oct26251060220
97655538630
102997117072
1112a8881464
126b788a900
13389c15271
14206095b8c
151281c4a4c
hexb2a46090

2997117072 has 160 divisors (see below), whose sum is σ = 8756384000. Its totient is φ = 981393408.

The previous prime is 2997117059. The next prime is 2997117077. The reversal of 2997117072 is 2707117992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2997117077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8587554 + ... + 8587902.

It is an arithmetic number, because the mean of its divisors is an integer number (54727400).

Almost surely, 22997117072 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 2997117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378192000).

2997117072 is an abundant number, since it is smaller than the sum of its proper divisors (5759266928).

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

2997117072 is a wasteful number, since it uses less digits than its factorization.

2997117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 2997117072 is about 54745.9320132556. The cubic root of 2997117072 is about 1441.7874331672.

The spelling of 2997117072 in words is "two billion, nine hundred ninety-seven million, one hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 193 206 216 309 349 386 412 432 579 618 698 772 824 927 1047 1158 1236 1396 1544 1648 1737 1854 2094 2316 2472 2781 2792 3088 3141 3474 3708 4188 4632 4944 5211 5562 5584 6282 6948 7416 8376 9264 9423 10422 11124 12564 13896 14832 16752 18846 19879 20844 22248 25128 27792 35947 37692 39758 41688 44496 50256 59637 67357 71894 75384 79516 83376 107841 119274 134714 143788 150768 159032 178911 202071 215682 238548 269428 287576 318064 323523 357822 404142 431364 477096 536733 538856 575152 606213 647046 715644 808284 862728 954192 970569 1073466 1077712 1212426 1294092 1431288 1616568 1725456 1818639 1941138 2146932 2424852 2588184 2862576 3233136 3637278 3882276 4293864 4849704 5176368 6937771 7274556 7764552 8587728 9699408 13875542 14549112 15529104 20813313 27751084 29098224 41626626 55502168 62439939 83253252 111004336 124879878 166506504 187319817 249759756 333013008 374639634 499519512 749279268 999039024 1498558536 2997117072