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12378561552 = 2432759208141
BaseRepresentation
bin10111000011101000…
…11101110000010000
31011221200110002011200
423201310131300100
5200322402432202
65404151311200
7615516015510
oct134164356020
934850402150
1012378561552
115282414565
12249567b500
13122370b046
14856001840
154c6aebe1c
hex2e1d1dc10

12378561552 has 120 divisors (see below), whose sum is σ = 40262988480. Its totient is φ = 3476770560.

The previous prime is 12378561523. The next prime is 12378561553. The reversal of 12378561552 is 25516587321.

12378561552 is a `hidden beast` number, since 1 + 2 + 37 + 8 + 5 + 61 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12378561498 and 12378561507.

It is not an unprimeable number, because it can be changed into a prime (12378561553) 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, 44599 + ... + 163542.

It is an arithmetic number, because the mean of its divisors is an integer number (335524904).

Almost surely, 212378561552 is an apocalyptic number.

12378561552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12378561552 is an abundant number, since it is smaller than the sum of its proper divisors (27884426928).

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

12378561552 is a wasteful number, since it uses less digits than its factorization.

12378561552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208221 (or 208212 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 12378561552 in words is "twelve billion, three hundred seventy-eight million, five hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 59472 208141 416282 624423 832564 1248846 1456987 1665128 1873269 2497692 2913974 3330256 3746538 4370961 4995384 5827948 7493076 8741922 9990768 11655896 12280319 13112883 14986152 17483844 23311792 24560638 26225766 29972304 34967688 36840957 49121276 52451532 69935376 73681914 85962233 98242552 104903064 110522871 147363828 171924466 196485104 209806128 221045742 257886699 294727656 343848932 442091484 515773398 589455312 687697864 773660097 884182968 1031546796 1375395728 1547320194 1768365936 2063093592 3094640388 4126187184 6189280776 12378561552