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15689734144 = 21172156347
BaseRepresentation
bin11101001110010111…
…00101100000000000
31111111110000002001121
432213023211200000
5224113032443034
611112513242024
71063543353100
oct164713454000
944443002047
1015689734144
11672149a537
12305a563314
131630702876
14a8ba89200
1561c65a1b4
hex3a72e5800

15689734144 has 72 divisors (see below), whose sum is σ = 36493968420. Its totient is φ = 6724128768.

The previous prime is 15689734133. The next prime is 15689734171. The reversal of 15689734144 is 44143798651.

It is a junction number, because it is equal to n+sod(n) for n = 15689734091 and 15689734100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22179 + ... + 178525.

Almost surely, 215689734144 is an apocalyptic number.

15689734144 is a gapful number since it is divisible by the number (14) 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 15689734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246984210).

15689734144 is an abundant number, since it is smaller than the sum of its proper divisors (20804234276).

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

15689734144 is an equidigital number, since it uses as much as digits as its factorization.

15689734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156383 (or 156356 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 15689734144 in words is "fifteen billion, six hundred eighty-nine million, seven hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 6272 7168 12544 14336 25088 50176 100352 156347 312694 625388 1094429 1250776 2188858 2501552 4377716 5003104 7661003 8755432 10006208 15322006 17510864 20012416 30644012 35021728 40024832 61288024 70043456 80049664 122576048 140086912 160099328 245152096 280173824 320198656 490304192 560347648 980608384 1120695296 1961216768 2241390592 3922433536 7844867072 15689734144