Search a number
-
+
19130617476 = 22331960715359
BaseRepresentation
bin10001110100010001…
…100000111010000100
31211101020122001122000
4101310101200322010
5303134414224401
612442151305300
71245034364655
oct216421407204
954336561560
1019130617476
11812780a073
12385a97b230
131a5b5412c9
14cd6a5952c
1576e78b186
hex474460e84

19130617476 has 96 divisors (see below), whose sum is σ = 52297728000. Its totient is φ = 6030902304.

The previous prime is 19130617447. The next prime is 19130617487. The reversal of 19130617476 is 67471603191.

19130617476 is a `hidden beast` number, since 1 + 91 + 30 + 61 + 7 + 476 = 666.

It is a super-2 number, since 2×191306174762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237885 + ... + 1253243.

It is an arithmetic number, because the mean of its divisors is an integer number (544768000).

Almost surely, 219130617476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19130617476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148864000).

19130617476 is an abundant number, since it is smaller than the sum of its proper divisors (33167110524).

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

19130617476 is a wasteful number, since it uses less digits than its factorization.

19130617476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 19130617476 in words is "nineteen billion, one hundred thirty million, six hundred seventeen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 607 684 1026 1214 1821 2052 2428 3642 5463 7284 10926 11533 15359 16389 21852 23066 30718 32778 34599 46077 46132 61436 65556 69198 92154 103797 138231 138396 184308 207594 276462 291821 311391 414693 415188 552924 583642 622782 829386 875463 1167284 1245564 1658772 1750926 2626389 3501852 5252778 7879167 9322913 10505556 15758334 18645826 27968739 31516668 37291652 55937478 83906217 111874956 167812434 177135347 251718651 335624868 354270694 503437302 531406041 708541388 1006874604 1062812082 1594218123 2125624164 3188436246 4782654369 6376872492 9565308738 19130617476