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19006299918 = 236232812017
BaseRepresentation
bin10001101100110111…
…010001111100001110
31211001120201002000000
4101230313101330032
5302411103044133
612421550545130
71241664612054
oct215467217416
954046632000
1019006299918
118073619491
1238252081a6
131a3b865118
14cc43381d4
157638d1413
hex46cdd1f0e

19006299918 has 112 divisors (see below), whose sum is σ = 44784004896. Its totient is φ = 6035420160.

The previous prime is 19006299913. The next prime is 19006299959. The reversal of 19006299918 is 81999260091.

19006299918 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 629 + 9 + 9 + 1 + 8 = 666.

It is a super-2 number, since 2×190062999182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19006299911) 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 55 ways as a sum of consecutive naturals, for example, 9422046 + ... + 9424062.

Almost surely, 219006299918 is an apocalyptic number.

19006299918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19006299918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22392002448).

19006299918 is an abundant number, since it is smaller than the sum of its proper divisors (25777704978).

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

19006299918 is a wasteful number, since it uses less digits than its factorization.

19006299918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 19006299918 in words is "nineteen billion, six million, two hundred ninety-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 281 414 486 562 621 729 843 1242 1458 1686 1863 2017 2529 3726 4034 5058 5589 6051 6463 7587 11178 12102 12926 15174 16767 18153 19389 22761 33534 36306 38778 45522 46391 54459 58167 68283 92782 108918 116334 136566 139173 163377 174501 204849 278346 326754 349002 409698 417519 490131 523503 566777 835038 980262 1047006 1133554 1252557 1470393 1570509 1700331 2505114 2940786 3141018 3400662 3757671 4711527 5100993 7515342 9423054 10201986 11273013 13035871 15302979 22546026 26071742 30605958 33819039 39107613 45908937 67638078 78215226 91817874 117322839 137726811 234645678 275453622 351968517 413180433 703937034 826360866 1055905551 2111811102 3167716653 6335433306 9503149959 19006299918