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19434492000 = 2534537111941
BaseRepresentation
bin10010000110011000…
…101101000001100000
31212011102102111010000
4102012120231001200
5304300212221000
612532244340000
71255414312350
oct220630550140
955142374100
1019434492000
11827329a540
1239246a4600
131aa9497811
14d2515ab60
1578b2b3000
hex48662d060

19434492000 has 1920 divisors, whose sum is σ = 95896120320. Its totient is φ = 3732480000.

The previous prime is 19434491957. The next prime is 19434492001. The reversal of 19434492000 is 29443491.

19434492000 is a `hidden beast` number, since 1 + 9 + 4 + 3 + 449 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19434492001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 474011980 + ... + 474012020.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896).

Almost surely, 219434492000 is an apocalyptic number.

19434492000 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 19434492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948060160).

19434492000 is an abundant number, since it is smaller than the sum of its proper divisors (76461628320).

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

19434492000 is a wasteful number, since it uses less digits than its factorization.

19434492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19434492000 in words is "nineteen billion, four hundred thirty-four million, four hundred ninety-two thousand".