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1668335370048 = 26322896415573
BaseRepresentation
bin11000010001110000100…
…010010111111101000000
312220111021011022221211200
4120101300202113331000
5204313222323320143
63314231144541200
7231350622444114
oct30216042277500
95814234287750
101668335370048
1159359a906426
1222b402181800
13c1428529449
145aa681c7744
152d5e59cb1d3
hex18470897f40

1668335370048 has 42 divisors (see below), whose sum is σ = 4781982112674. Its totient is φ = 556111789824.

The previous prime is 1668335370029. The next prime is 1668335370049. The reversal of 1668335370048 is 8400735338661.

1668335370048 is a `hidden beast` number, since 1 + 6 + 68 + 3 + 3 + 537 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1651245560064 + 17089809984 = 1285008^2 + 130728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1668335369976 and 1668335370003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668335370049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1448207211 + ... + 1448208362.

Almost surely, 21668335370048 is an apocalyptic number.

1668335370048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1668335370048 is an abundant number, since it is smaller than the sum of its proper divisors (3113646742626).

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

1668335370048 is a wasteful number, since it uses less digits than its factorization.

1668335370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896415591 (or 2896415578 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1668335370048 in words is "one trillion, six hundred sixty-eight billion, three hundred thirty-five million, three hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2896415573 5792831146 8689246719 11585662292 17378493438 23171324584 26067740157 34756986876 46342649168 52135480314 69513973752 92685298336 104270960628 139027947504 185370596672 208541921256 278055895008 417083842512 556111790016 834167685024 1668335370048