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19314608517 = 341915678009
BaseRepresentation
bin10001111111001111…
…011000100110000101
31211212001211202220000
4101333033120212011
5304024014433032
612512323031513
71252430315001
oct217717304605
954761752800
1019314608517
118211658286
1238b050b599
131a8a6b1949
14d13271701
157809d1e7c
hex47f3d8985

19314608517 has 40 divisors (see below), whose sum is σ = 30394425600. Its totient is φ = 12189393216.

The previous prime is 19314608491. The next prime is 19314608543. The reversal of 19314608517 is 71580641391.

19314608517 is a `hidden beast` number, since 1 + 9 + 31 + 4 + 608 + 5 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (19314608491) and next prime (19314608543).

It is a de Polignac number, because none of the positive numbers 2k-19314608517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19314608557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2407609 + ... + 2415617.

It is an arithmetic number, because the mean of its divisors is an integer number (759860640).

Almost surely, 219314608517 is an apocalyptic number.

It is an amenable number.

19314608517 is a deficient number, since it is larger than the sum of its proper divisors (11079817083).

19314608517 is a wasteful number, since it uses less digits than its factorization.

19314608517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 19314608517 in words is "nineteen billion, three hundred fourteen million, six hundred eight thousand, five hundred seventeen".

Divisors: 1 3 9 19 27 57 81 171 513 1539 1567 4701 8009 14103 24027 29773 42309 72081 89319 126927 152171 216243 267957 456513 648729 803871 1369539 2411613 4108617 12325851 12550103 37650309 112950927 238451957 338852781 715355871 1016558343 2146067613 6438202839 19314608517