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16431364325376 = 214357211131931
BaseRepresentation
bin1110111100011011100110…
…1000100100000000000000
32011011211020000211222200000
43233012321220210000000
54123202413231403001
654540244202400000
73314061345206400
oct357067150440000
964154200758600
1016431364325376
115265558884730
121a14612800000
13922617a59360
1440b3d47d2800
151d763e097a86
hexef1b9a24000

16431364325376 has 4320 divisors, whose sum is σ = 73097441464320. Its totient is φ = 3611846246400.

The previous prime is 16431364325371. The next prime is 16431364325401. The reversal of 16431364325376 is 67352346313461.

16431364325376 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 13 + 64 + 32 + 537 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16431364325371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 530044010481 + ... + 530044010511.

Almost surely, 216431364325376 is an apocalyptic number.

16431364325376 is a gapful number since it is divisible by the number (16) 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 16431364325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36548720732160).

16431364325376 is an abundant number, since it is smaller than the sum of its proper divisors (56666077138944).

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

16431364325376 is a wasteful number, since it uses less digits than its factorization.

16431364325376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 16431364325376 in words is "sixteen trillion, four hundred thirty-one billion, three hundred sixty-four million, three hundred twenty-five thousand, three hundred seventy-six".