Search a number
-
+
20497240500 = 22353114726431
BaseRepresentation
bin10011000101101110…
…110001000110110100
31221220111011200222120
4103011232301012310
5313434243144000
613225530555540
71323640445442
oct230556610664
957814150876
1020497240500
118769181190
123b80598bb0
131c18704999
14dc635db92
157ee73b6a0
hex4c5bb11b4

20497240500 has 192 divisors, whose sum is σ = 66502066176. Its totient is φ = 4863120000.

The previous prime is 20497240499. The next prime is 20497240537. The reversal of 20497240500 is 504279402.

It is a super-2 number, since 2×204972405002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 762285 + ... + 788715.

It is an arithmetic number, because the mean of its divisors is an integer number (346364928).

Almost surely, 220497240500 is an apocalyptic number.

20497240500 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 20497240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33251033088).

20497240500 is an abundant number, since it is smaller than the sum of its proper divisors (46004825676).

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

20497240500 is a wasteful number, since it uses less digits than its factorization.

20497240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26511 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 20497240500 in words is "twenty billion, four hundred ninety-seven million, two hundred forty thousand, five hundred".