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20631198637440 = 2732510135463419
BaseRepresentation
bin1001011000011100100110…
…10001000001110110000000
32201001022201201001112222100
410230032103101001312000
510201010143322344230
6111513501455310400
74226361222640356
oct454162321016600
981038651045870
1020631198637440
11663470785a716
12239256a81b400
13b6868a741551
145147abc037d6
1525b9e8b99660
hex12c393441d80

20631198637440 has 192 divisors, whose sum is σ = 71947477227600. Its totient is φ = 5447181004800.

The previous prime is 20631198637417. The next prime is 20631198637471. The reversal of 20631198637440 is 4473689113602.

20631198637440 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 1 + 198 + 6 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×206311986374402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17149950 + ... + 18313469.

Almost surely, 220631198637440 is an apocalyptic number.

20631198637440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20631198637440 is an abundant number, since it is smaller than the sum of its proper divisors (51316278590160).

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

20631198637440 is a wasteful number, since it uses less digits than its factorization.

20631198637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35463545 (or 35463530 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20631198637440 in words is "twenty trillion, six hundred thirty-one billion, one hundred ninety-eight million, six hundred thirty-seven thousand, four hundred forty".