Search a number
-
+
152525113261236 = 223223613300504199
BaseRepresentation
bin100010101011100010000101…
…001100011111110010110100
3202000001020222101120012122200
4202223202011030133302310
5124442432412443324421
61300221023020424500
744061401331266142
oct4253420514376264
9660036871505580
10152525113261236
11446655a01293a1
121513447b9a8130
13671509708c131
14299437d51a592
1512977dcb36726
hex8ab88531fcb4

152525113261236 has 72 divisors (see below), whose sum is σ = 402968920099200. Its totient is φ = 48551862262464.

The previous prime is 152525113261181. The next prime is 152525113261243. The reversal of 152525113261236 is 632162311525251.

152525113261236 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 511 + 3 + 2 + 6 + 123 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152525113261191 and 152525113261200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149744536 + ... + 150759663.

Almost surely, 2152525113261236 is an apocalyptic number.

It is an amenable number.

152525113261236 is an abundant number, since it is smaller than the sum of its proper divisors (250443806837964).

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

152525113261236 is a wasteful number, since it uses less digits than its factorization.

152525113261236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300504845 (or 300504840 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

Adding to 152525113261236 its reverse (632162311525251), we get a palindrome (784687424786487).

The spelling of 152525113261236 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, one hundred thirteen million, two hundred sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 613 828 1226 1839 2452 3678 5517 7356 11034 14099 22068 28198 42297 56396 84594 126891 169188 253782 507564 300504199 601008398 901512597 1202016796 1803025194 2704537791 3606050388 5409075582 6911596577 10818151164 13823193154 20734789731 27646386308 41469579462 62204369193 82939158924 124408738386 184209073987 248817476772 368418147974 552627221961 736836295948 1105254443922 1657881665883 2210508887844 3315763331766 4236808701701 6631526663532 8473617403402 12710426105103 16947234806804 25420852210206 38131278315309 50841704420412 76262556630618 152525113261236