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16007427344 = 241923189399
BaseRepresentation
bin11101110100001110…
…11111010100010000
31112022120210120012102
432322013133110100
5230240400133334
611204222415532
71104451613246
oct167207372420
945276716172
1016007427344
1168748590a7
123128a315a8
131681486acc
14abbd46796
1563a4b167e
hex3ba1df510

16007427344 has 60 divisors (see below), whose sum is σ = 33788908800. Its totient is φ = 7337787840.

The previous prime is 16007427329. The next prime is 16007427347. The reversal of 16007427344 is 44372470061.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 16007427298 and 16007427307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16007427347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134357 + ... + 223755.

It is an arithmetic number, because the mean of its divisors is an integer number (563148480).

Almost surely, 216007427344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16007427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894454400).

16007427344 is an abundant number, since it is smaller than the sum of its proper divisors (17781481456).

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

16007427344 is a wasteful number, since it uses less digits than its factorization.

16007427344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89476 (or 89451 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 16007427344 in words is "sixteen billion, seven million, four hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 361 496 589 722 1178 1444 2356 2888 4712 5776 9424 11191 22382 44764 89399 89528 178798 179056 357596 715192 1430384 1698581 2771369 3397162 5542738 6794324 11085476 13588648 22170952 27177296 32273039 44341904 52656011 64546078 105312022 129092156 210624044 258184312 421248088 516368624 842496176 1000464209 2000928418 4001856836 8003713672 16007427344