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20187985401 = 331779556741
BaseRepresentation
bin10010110011010011…
…000011010111111001
31221002221020220202000
4102303103003113321
5312321111013101
613135122331213
71313164021203
oct226323032771
957087226660
1020187985401
11861a656261
123ab4ab9b09
131b996163bc
14d9725b773
157d2500486
hex4b34c35f9

20187985401 has 32 divisors (see below), whose sum is σ = 32068339200. Its totient is φ = 12506607360.

The previous prime is 20187985331. The next prime is 20187985409. The reversal of 20187985401 is 10458978102.

20187985401 is a `hidden beast` number, since 2 + 0 + 18 + 7 + 98 + 540 + 1 = 666.

It is not a de Polignac number, because 20187985401 - 217 = 20187854329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20187985409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242110 + ... + 314631.

It is an arithmetic number, because the mean of its divisors is an integer number (1002135600).

Almost surely, 220187985401 is an apocalyptic number.

It is an amenable number.

20187985401 is a deficient number, since it is larger than the sum of its proper divisors (11880353799).

20187985401 is a wasteful number, since it uses less digits than its factorization.

20187985401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556846 (or 556840 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20187985401 in words is "twenty billion, one hundred eighty-seven million, nine hundred eighty-five thousand, four hundred one".

Divisors: 1 3 9 17 27 51 79 153 237 459 711 1343 2133 4029 12087 36261 556741 1670223 5010669 9464597 15032007 28393791 43982539 85181373 131947617 255544119 395842851 747703163 1187528553 2243109489 6729328467 20187985401