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32551013142 = 2321931299041
BaseRepresentation
bin11110010100001100…
…010000101100010110
310010000112110210112100
4132110030100230112
51013131024410032
622542001102530
72231434021644
oct362414205426
9103015423470
1032551013142
111289421aa5a
126385327a46
1330b9a45b2b
14180b178194
15ca7a7e97c
hex794310b16

32551013142 has 72 divisors (see below), whose sum is σ = 76711990680. Its totient is φ = 9947577600.

The previous prime is 32551013137. The next prime is 32551013147. The reversal of 32551013142 is 24131015523.

32551013142 is a `hidden beast` number, since 3 + 2 + 5 + 510 + 1 + 3 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (32551013137) and next prime (32551013147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32551013147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279142 + ... + 378182.

It is an arithmetic number, because the mean of its divisors is an integer number (1065444315).

Almost surely, 232551013142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32551013142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38355995340).

32551013142 is an abundant number, since it is smaller than the sum of its proper divisors (44160977538).

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

32551013142 is a wasteful number, since it uses less digits than its factorization.

32551013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99130 (or 99096 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 32551013142 its reverse (24131015523), we get a palindrome (56682028665).

The spelling of 32551013142 in words is "thirty-two billion, five hundred fifty-one million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 961 1178 1767 1922 2883 3534 5301 5766 8649 10602 17298 18259 36518 54777 99041 109554 164331 198082 297123 328662 594246 891369 1782738 1881779 3070271 3763558 5645337 6140542 9210813 11290674 16936011 18421626 27632439 33872022 55264878 58335149 95178401 116670298 175005447 190356802 285535203 350010894 525016341 571070406 856605609 1050032682 1713211218 1808389619 3616779238 5425168857 10850337714 16275506571 32551013142