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146624641363464 = 23311743747505207
BaseRepresentation
bin100001010101101010110101…
…101010011110111000001000
3201020011011211100201002221220
4201111222311222132320020
5123204244231142112324
61235502232542202040
742612165204552135
oct4125526552367010
9636134740632856
10146624641363464
11427a018560a290
1214540a07883320
1363a784b845c24
14282c955c2d58c
1511e409b771b79
hex855ab5a9ee08

146624641363464 has 64 divisors (see below), whose sum is σ = 400423589821440. Its totient is φ = 44371909028160.

The previous prime is 146624641363457. The next prime is 146624641363477. The reversal of 146624641363464 is 464363146426641.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146624641363398 and 146624641363407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373556452 + ... + 373948755.

It is an arithmetic number, because the mean of its divisors is an integer number (6256618590960).

Almost surely, 2146624641363464 is an apocalyptic number.

It is an amenable number.

146624641363464 is an abundant number, since it is smaller than the sum of its proper divisors (253798948457976).

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

146624641363464 is a wasteful number, since it uses less digits than its factorization.

146624641363464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747505970 (or 747505966 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 60.

The spelling of 146624641363464 in words is "one hundred forty-six trillion, six hundred twenty-four billion, six hundred forty-one million, three hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 743 1486 2229 2972 4458 5944 8173 8916 16346 17832 24519 32692 49038 65384 98076 196152 747505207 1495010414 2242515621 2990020828 4485031242 5980041656 8222557277 8970062484 16445114554 17940124968 24667671831 32890229108 49335343662 65780458216 98670687324 197341374648 555396368801 1110792737602 1666189106403 2221585475204 3332378212806 4443170950408 6109360056811 6664756425612 12218720113622 13329512851224 18328080170433 24437440227244 36656160340866 48874880454488 73312320681732 146624641363464