Search a number
-
+
75009151668 = 2231143101130843
BaseRepresentation
bin100010111011011100…
…1001101001010110100
321011121111221201011110
41011312321031022310
52212104320323133
654243030235020
75263540161243
oct1056671151264
9234544851143
1075009151668
11298a178a940
12126544b5a70
1370c515b919
1438b7dba95a
151e40273c63
hex1176e4d2b4

75009151668 has 96 divisors (see below), whose sum is σ = 197308564992. Its totient is φ = 21981456000.

The previous prime is 75009151639. The next prime is 75009151681. The reversal of 75009151668 is 86615190057.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507855 + ... + 638697.

It is an arithmetic number, because the mean of its divisors is an integer number (2055297552).

Almost surely, 275009151668 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 75009151668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654282496).

75009151668 is an abundant number, since it is smaller than the sum of its proper divisors (122299413324).

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

75009151668 is a wasteful number, since it uses less digits than its factorization.

75009151668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131005 (or 131003 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 75009151668 in words is "seventy-five billion, nine million, one hundred fifty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 101 129 132 172 202 258 303 404 473 516 606 946 1111 1212 1419 1892 2222 2838 3333 4343 4444 5676 6666 8686 13029 13332 17372 26058 47773 52116 95546 130843 143319 191092 261686 286638 392529 523372 573276 785058 1439273 1570116 2878546 4317819 5626249 5757092 8635638 11252498 13215143 16878747 17271276 22504996 26430286 33757494 39645429 52860572 61888739 67514988 79290858 123777478 145366573 158581716 185666217 247554956 290733146 371332434 436099719 568251149 581466292 742664868 872199438 1136502298 1704753447 1744398876 2273004596 3409506894 6250762639 6819013788 12501525278 18752287917 25003050556 37504575834 75009151668