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19948006326978 = 2326917207222533
BaseRepresentation
bin1001000100100100000011…
…10101001100001011000010
32121122000021212012020210100
410202102001311030023002
510103312004104430403
6110231553153143230
74126124123055222
oct442220165141302
977560255166710
1019948006326978
1163a09a1589a34
1222a2082b5ab16
13b191204a3742
144cd6bac3c082
15248d6047d2a3
hex122481d4c2c2

19948006326978 has 48 divisors (see below), whose sum is σ = 43289428643136. Its totient is φ = 6638761550880.

The previous prime is 19948006326971. The next prime is 19948006327009. The reversal of 19948006326978 is 87962360084991.

19948006326978 is a `hidden beast` number, since 19 + 9 + 480 + 0 + 6 + 3 + 2 + 69 + 78 = 666.

It is a super-2 number, since 2×199480063269782 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19948006326971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89529400 + ... + 89751932.

It is an arithmetic number, because the mean of its divisors is an integer number (901863096732).

Almost surely, 219948006326978 is an apocalyptic number.

19948006326978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

19948006326978 is an abundant number, since it is smaller than the sum of its proper divisors (23341422316158).

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

19948006326978 is a wasteful number, since it uses less digits than its factorization.

19948006326978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230439 (or 230436 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 19948006326978 in words is "nineteen trillion, nine hundred forty-eight billion, six million, three hundred twenty-six thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 691 1382 2073 4146 6219 7207 12438 14414 21621 43242 64863 129726 222533 445066 667599 1335198 2002797 4005594 4980037 9960074 14940111 29880222 44820333 89640666 153770303 307540606 461310909 922621818 1383932727 1603795331 2767865454 3207590662 4811385993 9622771986 14434157979 28868315958 1108222573721 2216445147442 3324667721163 6649335442326 9974003163489 19948006326978