Search a number
-
+
149631798125104 = 2431734998281687
BaseRepresentation
bin100010000001011011011110…
…001011001010001000110000
3201121210122211021200112201221
4202001123132023022020300
5124103031410310000404
61250123522112034424
743342353306356431
oct4201333613121060
9647718737615657
10149631798125104
114374a54216a9a9
121494778a532a14
1365652aaca7519
1428d430940b488
1512473ee447954
hex8816de2ca230

149631798125104 has 80 divisors (see below), whose sum is σ = 303971076352000. Its totient is φ = 71267551971840.

The previous prime is 149631798125093. The next prime is 149631798125107. The reversal of 149631798125104 is 401521897136941.

It is not an unprimeable number, because it can be changed into a prime (149631798125107) 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 15 ways as a sum of consecutive naturals, for example, 13926949 + ... + 22208635.

It is an arithmetic number, because the mean of its divisors is an integer number (3799638454400).

It is a 1-persistent number, because it is pandigital, but 2⋅149631798125104 = 299263596250208 is not.

Almost surely, 2149631798125104 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 149631798125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151985538176000).

149631798125104 is an abundant number, since it is smaller than the sum of its proper divisors (154339278226896).

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

149631798125104 is a wasteful number, since it uses less digits than its factorization.

149631798125104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282298 (or 8282292 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 149631798125104 in words is "one hundred forty-nine trillion, six hundred thirty-one billion, seven hundred ninety-eight million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 73 124 146 248 292 496 499 584 998 1168 1996 2263 3992 4526 7984 9052 15469 18104 30938 36208 36427 61876 72854 123752 145708 247504 291416 582832 1129237 2258474 4516948 8281687 9033896 16563374 18067792 33126748 66253496 132506992 256732297 513464594 604563151 1026929188 1209126302 2053858376 2418252604 4107716752 4132561813 4836505208 8265123626 9673010416 16530247252 18741457681 33060494504 37482915362 66120989008 74965830724 128109416203 149931661448 256218832406 299863322896 301677012349 512437664812 603354024698 1024875329624 1206708049396 2049750659248 2413416098792 4826832197584 9351987382819 18703974765638 37407949531276 74815899062552 149631798125104