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19114171209000 = 23335371961711229
BaseRepresentation
bin1000101100010010111010…
…11000101001010100101000
32111200022000110022102121000
410112021131120221110220
510001131310312142000
6104352532400515000
74011644660362320
oct426113530512450
974608013272530
1019114171209000
1160aa30238431a
12218855531ba60
13a885c67501ca
144a11b8d98280
1523230ba0b000
hex11625d629528

19114171209000 has 2048 divisors, whose sum is σ = 82229022720000. Its totient is φ = 4010549760000.

The previous prime is 19114171208999. The next prime is 19114171209017. The reversal of 19114171209000 is 90217141191.

It is a happy number.

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

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 511 ways as a sum of consecutive naturals, for example, 15552620386 + ... + 15552621614.

It is an arithmetic number, because the mean of its divisors is an integer number (40150890000).

Almost surely, 219114171209000 is an apocalyptic number.

19114171209000 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 19114171209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41114511360000).

19114171209000 is an abundant number, since it is smaller than the sum of its proper divisors (63114851511000).

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

19114171209000 is a wasteful number, since it uses less digits than its factorization.

19114171209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 19114171209000 in words is "nineteen trillion, one hundred fourteen billion, one hundred seventy-one million, two hundred nine thousand".