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19214249472 = 2932111971281
BaseRepresentation
bin10001111001010000…
…100010111000000000
31211121002000000011100
4101321100202320000
5303322321440342
612454340014400
71250101266015
oct217120427000
954532000140
1019214249472
11816aa41020
123882991400
131a729738b2
14d03bc970c
15776caae4c
hex479422e00

19214249472 has 480 divisors, whose sum is σ = 64805495040. Its totient is φ = 5419008000.

The previous prime is 19214249459. The next prime is 19214249533. The reversal of 19214249472 is 27494241291.

19214249472 is a `hidden beast` number, since 1 + 92 + 1 + 4 + 2 + 494 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68377972 + ... + 68378252.

It is an arithmetic number, because the mean of its divisors is an integer number (135011448).

Almost surely, 219214249472 is an apocalyptic number.

19214249472 is a gapful number since it is divisible by the number (12) 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 19214249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32402747520).

19214249472 is an abundant number, since it is smaller than the sum of its proper divisors (45591245568).

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

19214249472 is a wasteful number, since it uses less digits than its factorization.

19214249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 19214249472 in words is "nineteen billion, two hundred fourteen million, two hundred forty-nine thousand, four hundred seventy-two".