Search a number
-
+
75623151136 = 2513881206341
BaseRepresentation
bin100011001101101111…
…1011011011000100000
321020012022022010002111
41012123133123120200
52214334011314021
654424002325104
75315004115201
oct1063337333040
9236168263074
1075623151136
112a08732a815
12127a6059794
137192419610
1439357695a8
151e791098e1
hex119b7db620

75623151136 has 48 divisors (see below), whose sum is σ = 160518394008. Its totient is φ = 34863206400.

The previous prime is 75623151127. The next prime is 75623151137. The reversal of 75623151136 is 63115132657.

It can be written as a sum of positive squares in 4 ways, for example, as 63885595536 + 11737555600 = 252756^2 + 108340^2 .

It is not an unprimeable number, because it can be changed into a prime (75623151137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 263326 + ... + 469666.

Almost surely, 275623151136 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 75623151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80259197004).

75623151136 is an abundant number, since it is smaller than the sum of its proper divisors (84895242872).

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

75623151136 is a wasteful number, since it uses less digits than its factorization.

75623151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207245 (or 207237 counting only the distinct ones).

The product of its digits is 113400, while the sum is 40.

The spelling of 75623151136 in words is "seventy-five billion, six hundred twenty-three million, one hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 881 1762 3524 7048 11453 14096 22906 28192 45812 91624 183248 206341 366496 412682 825364 1650728 2682433 3301456 5364866 6602912 10729732 21459464 42918928 85837856 181786421 363572842 727145684 1454291368 2363223473 2908582736 4726446946 5817165472 9452893892 18905787784 37811575568 75623151136