Search a number
-
+
75689007312 = 243101113138163
BaseRepresentation
bin100011001111101101…
…0101001100011010000
321020100220012221210010
41012133122221203100
52220002341213222
654434314034520
75316433642542
oct1063732514320
9236326187703
1075689007312
112a110520506
1212804118a40
1371a2c66c79
1439403cd692
151e7ecb780c
hex119f6a98d0

75689007312 has 80 divisors (see below), whose sum is σ = 199214803008. Its totient is φ = 24758630400.

The previous prime is 75689007287. The next prime is 75689007313. The reversal of 75689007312 is 21370098657.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75689007313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478743 + ... + 616905.

Almost surely, 275689007312 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 75689007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99607401504).

75689007312 is an abundant number, since it is smaller than the sum of its proper divisors (123525795696).

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

75689007312 is a wasteful number, since it uses less digits than its factorization.

75689007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138388 (or 138382 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 75689007312 in words is "seventy-five billion, six hundred eighty-nine million, seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 113 202 226 303 339 404 452 606 678 808 904 1212 1356 1616 1808 2424 2712 4848 5424 11413 22826 34239 45652 68478 91304 136956 138163 182608 273912 276326 414489 547824 552652 828978 1105304 1657956 2210608 3315912 6631824 13954463 15612419 27908926 31224838 41863389 46837257 55817852 62449676 83726778 93674514 111635704 124899352 167453556 187349028 223271408 249798704 334907112 374698056 669814224 749396112 1576854319 3153708638 4730562957 6307417276 9461125914 12614834552 18922251828 25229669104 37844503656 75689007312