Search a number
-
+
20487031488 = 26337111071439
BaseRepresentation
bin10011000101000111…
…110100101011000000
31221212202222000212000
4103011013310223000
5313424140001423
613224524104000
71323454615530
oct230507645300
957782860760
1020487031488
118763438a90
123b79095000
131c1656bc51
14dc4c634c0
157ed8c1843
hex4c51f4ac0

20487031488 has 448 divisors, whose sum is σ = 75843993600. Its totient is φ = 5267911680.

The previous prime is 20487031471. The next prime is 20487031501. The reversal of 20487031488 is 88413078402.

20487031488 is a `hidden beast` number, since 20 + 487 + 0 + 3 + 148 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14236273 + ... + 14237711.

Almost surely, 220487031488 is an apocalyptic number.

20487031488 is a gapful number since it is divisible by the number (28) 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 20487031488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37921996800).

20487031488 is an abundant number, since it is smaller than the sum of its proper divisors (55356962112).

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

20487031488 is a wasteful number, since it uses less digits than its factorization.

20487031488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20487031488 in words is "twenty billion, four hundred eighty-seven million, thirty-one thousand, four hundred eighty-eight".