Search a number
-
+
8993968992 = 2532311496761
BaseRepresentation
bin10000110000001010…
…10001001101100000
3212012210201222000200
420120011101031200
5121404424001432
64044243545200
7435610321641
oct103005211540
925183658020
108993968992
1138a5952028
1218b008b200
13b0444b158
146146c56c8
153798d9a7c
hex218151360

8993968992 has 144 divisors (see below), whose sum is σ = 26582774400. Its totient is φ = 2881382400.

The previous prime is 8993968987. The next prime is 8993968999. The reversal of 8993968992 is 2998693998.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8993968992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8993968999) 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 23 ways as a sum of consecutive naturals, for example, 1326892 + ... + 1333652.

It is an arithmetic number, because the mean of its divisors is an integer number (184602600).

Almost surely, 28993968992 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 8993968992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291387200).

8993968992 is an abundant number, since it is smaller than the sum of its proper divisors (17588805408).

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

8993968992 is a wasteful number, since it uses less digits than its factorization.

8993968992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6946 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 72.

The square root of 8993968992 is about 94836.5382750762. The cubic root of 8993968992 is about 2079.6190895183.

The spelling of 8993968992 in words is "eight billion, nine hundred ninety-three million, nine hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 149 186 248 279 288 298 372 447 496 558 596 744 894 992 1116 1192 1341 1488 1788 2232 2384 2682 2976 3576 4464 4619 4768 5364 6761 7152 8928 9238 10728 13522 13857 14304 18476 20283 21456 27044 27714 36952 40566 41571 42912 54088 55428 60849 73904 81132 83142 108176 110856 121698 147808 162264 166284 209591 216352 221712 243396 324528 332568 419182 443424 486792 628773 649056 665136 838364 973584 1007389 1257546 1330272 1676728 1886319 1947168 2014778 2515092 3022167 3353456 3772638 4029556 5030184 6044334 6706912 7545276 8059112 9066501 10060368 12088668 15090552 16118224 18133002 20120736 24177336 30181104 31229059 32236448 36266004 48354672 60362208 62458118 72532008 93687177 96709344 124916236 145064016 187374354 249832472 281061531 290128032 374748708 499664944 562123062 749497416 999329888 1124246124 1498994832 2248492248 2997989664 4496984496 8993968992