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20379447644688 = 243211191125953503
BaseRepresentation
bin1001010001000111101011…
…01111001101001000010000
32200011020220202011001100200
410220203311233031020100
510132344102044112223
6111202104454015200
74202236465544436
oct450436557151020
980136822131320
1020379447644688
1165479699a4720
12235180b947500
13b4aa09990b92
14506528a34d56
152551b22a7a43
hex1288f5bcd210

20379447644688 has 240 divisors, whose sum is σ = 62595673620480. Its totient is φ = 6138263059200.

The previous prime is 20379447644683. The next prime is 20379447644707. The reversal of 20379447644688 is 88644674497302.

20379447644688 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 9 + 447 + 64 + 46 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20379447644683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380876145 + ... + 380929647.

It is an arithmetic number, because the mean of its divisors is an integer number (260815306752).

Almost surely, 220379447644688 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 20379447644688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31297836810240).

20379447644688 is an abundant number, since it is smaller than the sum of its proper divisors (42216225975792).

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

20379447644688 is a wasteful number, since it uses less digits than its factorization.

20379447644688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54978 (or 54969 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 20379447644688 in words is "twenty trillion, three hundred seventy-nine billion, four hundred forty-seven million, six hundred forty-four thousand, six hundred eighty-eight".