Search a number
-
+
155514474126 = 23311717350513
BaseRepresentation
bin1001000011010101100…
…0101000111010001110
3112212102001220211021000
42100311120220322032
510021443201133001
6155235314521130
714143536135204
oct2206530507216
9485361824230
10155514474126
115aa53959190
12261815961a6
1311884b902bb
147753cd5074
1540a2caca86
hex2435628e8e

155514474126 has 128 divisors (see below), whose sum is σ = 387559572480. Its totient is φ = 45824486400.

The previous prime is 155514474083. The next prime is 155514474127. The reversal of 155514474126 is 621474415551.

155514474126 is a `hidden beast` number, since 1 + 5 + 5 + 51 + 4 + 474 + 126 = 666.

155514474126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155514474127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3053446 + ... + 3103958.

It is an arithmetic number, because the mean of its divisors is an integer number (3027809160).

Almost surely, 2155514474126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155514474126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193779786240).

155514474126 is an abundant number, since it is smaller than the sum of its proper divisors (232045098354).

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

155514474126 is a wasteful number, since it uses less digits than its factorization.

155514474126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50679 (or 50673 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

Adding to 155514474126 its reverse (621474415551), we get a palindrome (776988889677).

The spelling of 155514474126 in words is "one hundred fifty-five billion, five hundred fourteen million, four hundred seventy-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 73 99 142 146 198 213 219 297 426 438 594 639 657 781 803 1278 1314 1562 1606 1917 1971 2343 2409 3834 3942 4686 4818 5183 7029 7227 10366 14058 14454 15549 21087 21681 31098 42174 43362 46647 50513 57013 93294 101026 114026 139941 151539 171039 279882 303078 342078 454617 513117 555643 909234 1026234 1111286 1363851 1539351 1666929 2727702 3078702 3333858 3586423 3687449 5000787 7172846 7374898 10001574 10759269 11062347 15002361 21518538 22124694 30004722 32277807 33187041 39450653 40561939 64555614 66374082 78901306 81123878 96833421 99561123 118351959 121685817 193666842 199122246 236703918 243371634 261808879 355055877 365057451 523617758 710111754 730114902 785426637 1065167631 1095172353 1570853274 2130335262 2190344706 2356279911 2879897669 4712559822 5759795338 7068839733 8639693007 14137679466 17279386014 25919079021 51838158042 77757237063 155514474126