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19113114494880 = 2535572173119037
BaseRepresentation
bin1000101100010000111100…
…11001100110011110100000
32111200012021210220210100000
410112020132121212132200
510001122124302314010
6104352235451500000
74011606536431200
oct426103631463640
974605253823300
1019113114494880
1160a990a94436a
1221882bb457600
13a88488846893
144a11188c6400
15232298d757c0
hex11621e6667a0

19113114494880 has 1728 divisors, whose sum is σ = 86002652316672. Its totient is φ = 3978883399680.

The previous prime is 19113114494879. The next prime is 19113114494899. The reversal of 19113114494880 is 8849441131191.

19113114494880 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 3 + 114 + 49 + 488 + 0 = 666.

It is a super-2 number, since 2×191131144948802 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1003988722 + ... + 1004007758.

It is an arithmetic number, because the mean of its divisors is an integer number (49770053424).

Almost surely, 219113114494880 is an apocalyptic number.

19113114494880 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 19113114494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001326158336).

19113114494880 is an abundant number, since it is smaller than the sum of its proper divisors (66889537821792).

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

19113114494880 is a wasteful number, since it uses less digits than its factorization.

19113114494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19129 (or 19102 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 19113114494880 in words is "nineteen trillion, one hundred thirteen billion, one hundred fourteen million, four hundred ninety-four thousand, eight hundred eighty".