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20714358782016 = 263341801136497
BaseRepresentation
bin1001011010110111011111…
…11111110011100001000000
32201100021101021112121101000
410231123233333303201000
510203341001322011031
6112020013422012000
74235364056335434
oct455335777634100
981307337477330
1020714358782016
116666a01568129
1223a66b8a17000
13b7348149c0a3
1451881a5509c4
1525dc647e23e6
hex12d6efff3840

20714358782016 has 224 divisors, whose sum is σ = 62391152799360. Its totient is φ = 6735351398400.

The previous prime is 20714358781937. The next prime is 20714358782041. The reversal of 20714358782016 is 61028785341702.

20714358782016 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 43 + 587 + 8 + 2 + 0 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567545080 + ... + 567581576.

It is an arithmetic number, because the mean of its divisors is an integer number (278531932140).

Almost surely, 220714358782016 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 20714358782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31195576399680).

20714358782016 is an abundant number, since it is smaller than the sum of its proper divisors (41676794017344).

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

20714358782016 is a wasteful number, since it uses less digits than its factorization.

20714358782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44570 (or 44554 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20714358782016 in words is "twenty trillion, seven hundred fourteen billion, three hundred fifty-eight million, seven hundred eighty-two thousand, sixteen".