Search a number
-
+
12432013033520 = 245712188734689
BaseRepresentation
bin1011010011101000110110…
…1110001000000000110000
31122000111012100211002000102
42310322031232020000300
53112141230314033040
642235104332411532
72422116605136533
oct264721556100060
948014170732012
1012432013033520
113a6342928a0a3
1214894a8016ba8
136c24454818c2
1430d9d96b8a1a
151685ba02c515
hexb4e8db88030

12432013033520 has 40 divisors (see below), whose sum is σ = 29311534968480. Its totient is φ = 4902765701120.

The previous prime is 12432013033507. The next prime is 12432013033523. The reversal of 12432013033520 is 2533031023421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124320130335202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12432013033523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094361665 + ... + 1094373024.

It is an arithmetic number, because the mean of its divisors is an integer number (732788374212).

Almost surely, 212432013033520 is an apocalyptic number.

12432013033520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432013033520 is an abundant number, since it is smaller than the sum of its proper divisors (16879521934960).

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

12432013033520 is a wasteful number, since it uses less digits than its factorization.

12432013033520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188734773 (or 2188734767 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 12432013033520 its reverse (2533031023421), we get a palindrome (14965044056941).

The spelling of 12432013033520 in words is "twelve trillion, four hundred thirty-two billion, thirteen million, thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 2188734689 4377469378 8754938756 10943673445 17509877512 21887346890 35019755024 43774693780 87549387560 155400162919 175098775120 310800325838 621600651676 777000814595 1243201303352 1554001629190 2486402606704 3108003258380 6216006516760 12432013033520