Search a number
-
+
11450762752 = 291113295393
BaseRepresentation
bin10101010101000010…
…01100011000000000
31002120000122000111011
422222201030120000
5141422343402002
65132125330304
7553521606652
oct125241143000
932500560434
1011450762752
1149467255a0
122276a06994
131106430580
147a8aca6d2
1547042d8d7
hex2aa84c600

11450762752 has 160 divisors (see below), whose sum is σ = 27811032480. Its totient is φ = 4637982720.

The previous prime is 11450762711. The next prime is 11450762753. The reversal of 11450762752 is 25726705411.

It is a super-2 number, since 2×114507627522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11450762753) 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 15 ways as a sum of consecutive naturals, for example, 2120568 + ... + 2125960.

It is an arithmetic number, because the mean of its divisors is an integer number (173818953).

Almost surely, 211450762752 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 11450762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905516240).

11450762752 is an abundant number, since it is smaller than the sum of its proper divisors (16360269728).

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

11450762752 is a wasteful number, since it uses less digits than its factorization.

11450762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 11450762752 in words is "eleven billion, four hundred fifty million, seven hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 64 88 104 116 128 143 176 208 232 256 286 319 352 377 416 464 512 572 638 704 754 832 928 1144 1276 1408 1508 1664 1856 2288 2552 2816 3016 3328 3712 4147 4576 5104 5393 5632 6032 6656 7424 8294 9152 10208 10786 12064 14848 16588 18304 20416 21572 24128 33176 36608 40832 43144 48256 59323 66352 70109 73216 81664 86288 96512 118646 132704 140218 156397 163328 172576 193024 237292 265408 280436 312794 345152 474584 530816 560872 625588 690304 771199 949168 1061632 1121744 1251176 1380608 1542398 1720367 1898336 2033161 2123264 2243488 2502352 2761216 3084796 3440734 3796672 4066322 4486976 5004704 6169592 6881468 7593344 8132644 8973952 10009408 12339184 13762936 15186688 16265288 17947904 20018816 22364771 24678368 27525872 30373376 32530576 35895808 40037632 44729542 49356736 55051744 65061152 80075264 89459084 98713472 110103488 130122304 178918168 197426944 220206976 260244608 357836336 394853888 440413952 520489216 715672672 880827904 1040978432 1431345344 2862690688 5725381376 11450762752