Search a number
-
+
152525435043132 = 223229314712811613
BaseRepresentation
bin100010101011100010011000…
…010111111111110100111100
3202000001021210211001102102200
4202223202120113333310330
5124442434042332340012
61300221114553351500
744061412316345604
oct4253423027776474
9660037724042380
10152525435043132
114466574582a948
121513454b708590
136715118945418
1429943b015dc04
15129780aee93dc
hex8ab8985ffd3c

152525435043132 has 72 divisors (see below), whose sum is σ = 411711222599040. Its totient is φ = 47505141048960.

The previous prime is 152525435043089. The next prime is 152525435043133. The reversal of 152525435043132 is 231340534525251.

152525435043132 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 2 + 5 + 4 + 3 + 504 + 3 + 132 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152525435043133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2356373443 + ... + 2356438170.

Almost surely, 2152525435043132 is an apocalyptic number.

152525435043132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152525435043132 is an abundant number, since it is smaller than the sum of its proper divisors (259185787555908).

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

152525435043132 is a wasteful number, since it uses less digits than its factorization.

152525435043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712811683 (or 4712811678 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 152525435043132 its reverse (231340534525251), we get a palindrome (383865969568383).

The spelling of 152525435043132 in words is "one hundred fifty-two trillion, five hundred twenty-five billion, four hundred thirty-five million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 4712811613 9425623226 14138434839 18851246452 28276869678 42415304517 56553739356 84830609034 136671536777 146097160003 169661218068 273343073554 292194320006 410014610331 438291480009 546686147108 584388640012 820029220662 876582960018 1230043830993 1314874440027 1640058441324 1753165920036 2460087661986 2629748880054 4236817640087 4920175323972 5259497760108 8473635280174 12710452920261 16947270560348 25420905840522 38131358760783 50841811681044 76262717521566 152525435043132