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19421116243200 = 2834527192337331
BaseRepresentation
bin1000110101001110101001…
…01111000001110100000000
32112202122021222112202020000
410122213110233001310000
510021143421224240300
6105145534310120000
74043062236205050
oct432472457016400
975678258482200
1019421116243200
1162084a38a2601
122217b38650000
13aab53237b2b9
144b1db6629560
1523a2c3c77c00
hex11a9d4bc1d00

19421116243200 has 4320 divisors, whose sum is σ = 92858330019840. Its totient is φ = 3902083891200.

The previous prime is 19421116243187. The next prime is 19421116243241. The reversal of 19421116243200 is 234261112491.

19421116243200 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 1 + 1 + 1 + 624 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×194211162432002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 58674067035 + ... + 58674067365.

Almost surely, 219421116243200 is an apocalyptic number.

19421116243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19421116243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46429165009920).

19421116243200 is an abundant number, since it is smaller than the sum of its proper divisors (73437213776640).

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

19421116243200 is a wasteful number, since it uses less digits than its factorization.

19421116243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 19421116243200 its reverse (234261112491), we get a palindrome (19655377355691).

The spelling of 19421116243200 in words is "nineteen trillion, four hundred twenty-one billion, one hundred sixteen million, two hundred forty-three thousand, two hundred".