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19106575002 = 2348910611249
BaseRepresentation
bin10001110010110101…
…110011001010011010
31211022120101120120000
4101302311303022122
5303112240400002
612435532113430
71244323131204
oct216265631232
954276346500
1019106575002
118115188659
123852905876
131a56573ba8
14cd379b774
1576c5dc61c
hex472d7329a

19106575002 has 80 divisors (see below), whose sum is σ = 43369425000. Its totient is φ = 6286325760.

The previous prime is 19106574997. The next prime is 19106575039. The reversal of 19106575002 is 20057560191.

19106575002 is a `hidden beast` number, since 1 + 91 + 0 + 65 + 7 + 500 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14330244681 + 4776330321 = 119709^2 + 69111^2 .

It is a super-2 number, since 2×191065750022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15296874 + ... + 15298122.

Almost surely, 219106575002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19106575002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684712500).

19106575002 is an abundant number, since it is smaller than the sum of its proper divisors (24262849998).

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

19106575002 is a wasteful number, since it uses less digits than its factorization.

19106575002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 19106575002 in words is "nineteen billion, one hundred six million, five hundred seventy-five thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1061 1249 1602 2122 2403 2498 3183 3747 4806 6366 7209 7494 9549 11241 14418 19098 22482 28647 33723 57294 67446 85941 94429 101169 111161 171882 188858 202338 222322 283287 333483 566574 666966 849861 1000449 1325189 1699722 2000898 2549583 2650378 3001347 3975567 5099166 6002694 7648749 7951134 9004041 11926701 15297498 18008082 23853402 35780103 71560206 107340309 117941821 214680618 235883642 353825463 707650926 1061476389 2122952778 3184429167 6368858334 9553287501 19106575002