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19984396698 = 23273121511093
BaseRepresentation
bin10010100111001010…
…011011000110011010
31220120202011112112200
4102213022123012122
5311412001143243
613103010551030
71305142366140
oct224712330632
956522145480
1019984396698
118525742032
123a58898476
131b663a3806
14d781c3590
157be6d7ad3
hex4a729b19a

19984396698 has 144 divisors (see below), whose sum is σ = 51518683008. Its totient is φ = 5484024000.

The previous prime is 19984396693. The next prime is 19984396703. The reversal of 19984396698 is 89669348991.

19984396698 is a `hidden beast` number, since 19 + 98 + 439 + 6 + 6 + 98 = 666.

It is an interprime number because it is at equal distance from previous prime (19984396693) and next prime (19984396703).

It is a super-2 number, since 2×199843966982 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19984396693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18283440 + ... + 18284532.

It is an arithmetic number, because the mean of its divisors is an integer number (357768632).

Almost surely, 219984396698 is an apocalyptic number.

19984396698 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 19984396698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25759341504).

19984396698 is an abundant number, since it is smaller than the sum of its proper divisors (31534286310).

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

19984396698 is a wasteful number, since it uses less digits than its factorization.

19984396698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1287 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

The spelling of 19984396698 in words is "nineteen billion, nine hundred eighty-four million, three hundred ninety-six thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 151 186 217 279 302 434 453 558 651 906 961 1057 1093 1302 1359 1922 1953 2114 2186 2718 2883 3171 3279 3906 4681 5766 6342 6558 6727 7651 8649 9362 9513 9837 13454 14043 15302 17298 19026 19674 20181 22953 28086 32767 33883 40362 42129 45906 60543 65534 67766 68859 84258 98301 101649 121086 137718 145111 165043 196602 203298 237181 290222 294903 304947 330086 435333 474362 495129 589806 609894 711543 870666 990258 1015777 1050373 1155301 1305999 1423086 1485387 2031554 2100746 2134629 2310602 2611998 2970774 3047331 3151119 3465903 4269258 5116333 6094662 6302238 6931806 7352611 9141993 9453357 10232666 10397709 14705222 15348999 18283986 18906714 20795418 22057833 30697998 35814331 44115666 46046997 66173499 71628662 92093994 107442993 132346998 158606323 214885986 317212646 322328979 475818969 644657958 951637938 1110244261 1427456907 2220488522 2854913814 3330732783 6661465566 9992198349 19984396698