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2430104663 = 73111399103
BaseRepresentation
bin1001000011011000…
…0111010001010111
320021100200002220102
42100312013101113
514434101322123
61041045324315
7114135356150
oct22066072127
96240602812
102430104663
111037804668
12579a0669b
132c95c946c
14190a58927
15e3521028
hex90d87457

2430104663 has 16 divisors (see below), whose sum is σ = 2892251136. Its totient is φ = 1997896320.

The previous prime is 2430104653. The next prime is 2430104671. The reversal of 2430104663 is 3664010342.

It is not a de Polignac number, because 2430104663 - 28 = 2430104407 is a prime.

It is a super-3 number, since 3×24301046633 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430104653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25031 + ... + 74072.

It is an arithmetic number, because the mean of its divisors is an integer number (180765696).

Almost surely, 22430104663 is an apocalyptic number.

2430104663 is a deficient number, since it is larger than the sum of its proper divisors (462146473).

2430104663 is a wasteful number, since it uses less digits than its factorization.

2430104663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99254.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2430104663 is about 49296.0917619237. The cubic root of 2430104663 is about 1344.4407256351.

The spelling of 2430104663 in words is "two billion, four hundred thirty million, one hundred four thousand, six hundred sixty-three".

Divisors: 1 7 31 113 217 791 3503 24521 99103 693721 3072193 11198639 21505351 78390473 347157809 2430104663