Search a number
-
+
12456129750 = 235317396001
BaseRepresentation
bin10111001100111000…
…10111010011010110
31012011002101221201220
423212130113103112
5201002232123000
65420002031210
7620450233041
oct134634272326
935132357656
1012456129750
115312184709
1224b7648506
1312367c959c
14862433c58
154cd8201a0
hex2e67174d6

12456129750 has 64 divisors (see below), whose sum is σ = 31270539456. Its totient is φ = 3302400000.

The previous prime is 12456129727. The next prime is 12456129769. The reversal of 12456129750 is 5792165421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81750 + ... + 177750.

It is an arithmetic number, because the mean of its divisors is an integer number (488602179).

Almost surely, 212456129750 is an apocalyptic number.

12456129750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12456129750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635269728).

12456129750 is an abundant number, since it is smaller than the sum of its proper divisors (18814409706).

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

12456129750 is a wasteful number, since it uses less digits than its factorization.

12456129750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96194 (or 96184 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 12456129750 in words is "twelve billion, four hundred fifty-six million, one hundred twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 173 250 346 375 519 750 865 1038 1730 2595 4325 5190 8650 12975 21625 25950 43250 64875 96001 129750 192002 288003 480005 576006 960010 1440015 2400025 2880030 4800050 7200075 12000125 14400150 16608173 24000250 33216346 36000375 49824519 72000750 83040865 99649038 166081730 249122595 415204325 498245190 830408650 1245612975 2076021625 2491225950 4152043250 6228064875 12456129750