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19029290703696 = 243272131931438191
BaseRepresentation
bin1000101001110100110100…
…00111001101101101010000
32111101011220222122222221100
410110322122013031231100
54443233441410004241
6104245534021024400
74002551364111300
oct424723207155520
974334828588840
1019029290703696
116077305567389
122174006b55100
13a805ba467740
1449b045d85600
1522eeded3b9b6
hex114e9a1cdb50

19029290703696 has 1440 divisors, whose sum is σ = 74187465031680. Its totient is φ = 4493644646400.

The previous prime is 19029290703649. The next prime is 19029290703697. The reversal of 19029290703696 is 69630709292091.

19029290703696 is a `hidden beast` number, since 190 + 2 + 9 + 290 + 70 + 3 + 6 + 96 = 666.

It is a super-2 number, since 2×190292907036962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19029290703697) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2323190961 + ... + 2323199151.

Almost surely, 219029290703696 is an apocalyptic number.

19029290703696 is a gapful number since it is divisible by the number (16) 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 19029290703696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37093732515840).

19029290703696 is an abundant number, since it is smaller than the sum of its proper divisors (55158174327984).

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

19029290703696 is a wasteful number, since it uses less digits than its factorization.

19029290703696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 19029290703696 in words is "nineteen trillion, twenty-nine billion, two hundred ninety million, seven hundred three thousand, six hundred ninety-six".