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20697837831720 = 23345719312151331
BaseRepresentation
bin1001011010011000101110…
…10001011000011000101000
32201021200201220110101010000
410231030113101120120220
510203103132441103340
6112004242212423000
74234240500513540
oct455142721303050
981250656411100
1020697837831720
11665a9a39566a5
1223a3468017a60
13b71a4a806c5a
14517ad0332320
1525d5e91e5d30
hex12d317458628

20697837831720 has 1920 divisors, whose sum is σ = 87312974284800. Its totient is φ = 4295617920000.

The previous prime is 20697837831719. The next prime is 20697837831787. The reversal of 20697837831720 is 2713873879602.

20697837831720 is a `hidden beast` number, since 2 + 0 + 6 + 97 + 8 + 378 + 3 + 172 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 62531231955 + ... + 62531232285.

It is an arithmetic number, because the mean of its divisors is an integer number (45475507440).

Almost surely, 220697837831720 is an apocalyptic number.

20697837831720 is a gapful number since it is divisible by the number (20) 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 20697837831720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43656487142400).

20697837831720 is an abundant number, since it is smaller than the sum of its proper divisors (66615136453080).

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

20697837831720 is a wasteful number, since it uses less digits than its factorization.

20697837831720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 20697837831720 in words is "twenty trillion, six hundred ninety-seven billion, eight hundred thirty-seven million, eight hundred thirty-one thousand, seven hundred twenty".