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604866668406 = 2371121312177523
BaseRepresentation
bin10001100110101001101…
…11001110011101110110
32010211021012100102111020
420303110313032131312
534402231331342111
61141512155522010
761462105564440
oct10632467163566
92124235312436
10604866668406
11213582513600
1299288759306
1345066ca5060
14213c0759490
1510b02238906
hex8cd4dce776

604866668406 has 192 divisors, whose sum is σ = 1638124798464. Its totient is φ = 144884551680.

The previous prime is 604866668383. The next prime is 604866668443.

It is a happy number.

604866668406 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 604866668406.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 80398561 + ... + 80406083.

It is an arithmetic number, because the mean of its divisors is an integer number (8531899992).

Almost surely, 2604866668406 is an apocalyptic number.

604866668406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 604866668406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819062399232).

604866668406 is an abundant number, since it is smaller than the sum of its proper divisors (1033258130058).

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

604866668406 is a wasteful number, since it uses less digits than its factorization.

604866668406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 604866668406 in words is "six hundred four billion, eight hundred sixty-six million, six hundred sixty-eight thousand, four hundred six".