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15894638028864 = 26327219212492
BaseRepresentation
bin1110011101001100001001…
…0000001110100001000000
32002021111211122122002212100
43213103002100032201000
54040404204313410424
653445521303230400
73230230643026200
oct347230220164100
962244748562770
1015894638028864
115078972882071
1219485a2148400
138b3b1cb61caa
143cd439ad4400
151c86c9088dc9
hexe74c240e840

15894638028864 has 567 divisors, whose sum is σ = 55978290833517. Its totient is φ = 4298863435776.

The previous prime is 15894638028823. The next prime is 15894638028869. The reversal of 15894638028864 is 46882083649851.

The square root of 15894638028864 is 3986808.

It is a perfect power (a square), and thus also a powerful number.

15894638028864 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 463 + 80 + 2 + 8 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6504580966464 + 9390057062400 = 2550408^2 + 3064320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 15894638028792 and 15894638028801.

It is not an unprimeable number, because it can be changed into a prime (15894638028869) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12725890512 + ... + 12725891760.

Almost surely, 215894638028864 is an apocalyptic number.

15894638028864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15894638028864 is the 3986808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15894638028864

15894638028864 is an abundant number, since it is smaller than the sum of its proper divisors (40083652804653).

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

15894638028864 is an equidigital number, since it uses as much as digits as its factorization.

15894638028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 15894638028864 in words is "fifteen trillion, eight hundred ninety-four billion, six hundred thirty-eight million, twenty-eight thousand, eight hundred sixty-four".