Search a number
-
+
75212577104 = 2472389328061
BaseRepresentation
bin100011000001100000…
…1001101100101010000
321012010200201210101212
41012003001031211100
52213013404431404
654315134315252
75301560233310
oct1060301154520
9235120653355
1075212577104
11299965a2435
12126b0658b28
1371283450c2
1438d7011440
151e5305806e
hex118304d950

75212577104 has 80 divisors (see below), whose sum is σ = 175736252160. Its totient is φ = 30485959680.

The previous prime is 75212577101. The next prime is 75212577107. The reversal of 75212577104 is 40177521257.

It is an interprime number because it is at equal distance from previous prime (75212577101) and next prime (75212577107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75212577101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65234 + ... + 393294.

It is an arithmetic number, because the mean of its divisors is an integer number (2196703152).

Almost surely, 275212577104 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 75212577104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87868126080).

75212577104 is an abundant number, since it is smaller than the sum of its proper divisors (100523675056).

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

75212577104 is a wasteful number, since it uses less digits than its factorization.

75212577104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328188 (or 328182 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 41.

The spelling of 75212577104 in words is "seventy-five billion, two hundred twelve million, five hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 89 92 112 161 178 184 322 356 368 623 644 712 1246 1288 1424 2047 2492 2576 4094 4984 8188 9968 14329 16376 28658 32752 57316 114632 229264 328061 656122 1312244 2296427 2624488 4592854 5248976 7545403 9185708 15090806 18371416 29197429 30181612 36742832 52817821 58394858 60363224 105635642 116789716 120726448 204382003 211271284 233579432 408764006 422542568 467158864 671540867 817528012 845085136 1343081734 1635056024 2686163468 3270112048 4700786069 5372326936 9401572138 10744653872 18803144276 37606288552 75212577104