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20279487000 = 233531731101127
BaseRepresentation
bin10010111000110000…
…000110101000011000
31221100022102200100010
4102320300012220120
5313013022041000
613152151441520
71315354536543
oct227060065030
957308380303
1020279487000
118667272813
123b1b6862a0
131bb2572966
14da547985a
157da576d50
hex4b8c06a18

20279487000 has 512 divisors, whose sum is σ = 70389596160. Its totient is φ = 4838400000.

The previous prime is 20279486987. The next prime is 20279487047. The reversal of 20279487000 is 78497202.

It is a super-2 number, since 2×202794870002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20279487000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159680937 + ... + 159681063.

It is an arithmetic number, because the mean of its divisors is an integer number (137479680).

Almost surely, 220279487000 is an apocalyptic number.

20279487000 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 20279487000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35194798080).

20279487000 is an abundant number, since it is smaller than the sum of its proper divisors (50110109160).

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

20279487000 is a wasteful number, since it uses less digits than its factorization.

20279487000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 20279487000 in words is "twenty billion, two hundred seventy-nine million, four hundred eighty-seven thousand".