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19001838240 = 25325711237451
BaseRepresentation
bin10001101100100110…
…010000101010100000
31211001021022101201200
4101230212100222200
5302403432310430
612421311201200
71241611650210
oct215446205240
954037271650
1019001838240
118071051350
123823816200
131a3a962388
14cc38d6240
157632ee460
hex46c990aa0

19001838240 has 576 divisors, whose sum is σ = 84370470912. Its totient is φ = 3776256000.

The previous prime is 19001838239. The next prime is 19001838241. The reversal of 19001838240 is 4283810091.

It is an interprime number because it is at equal distance from previous prime (19001838239) and next prime (19001838241).

It is a super-2 number, since 2×190018382402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19001838195 and 19001838204.

It is not an unprimeable number, because it can be changed into a prime (19001838241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2546515 + ... + 2553965.

It is an arithmetic number, because the mean of its divisors is an integer number (146476512).

Almost surely, 219001838240 is an apocalyptic number.

19001838240 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 19001838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42185235456).

19001838240 is an abundant number, since it is smaller than the sum of its proper divisors (65368632672).

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

19001838240 is a wasteful number, since it uses less digits than its factorization.

19001838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 19001838240 in words is "nineteen billion, one million, eight hundred thirty-eight thousand, two hundred forty".