Search a number
-
+
20498166720 = 2633519236189
BaseRepresentation
bin10011000101110010…
…010011001111000000
31221220112220202112000
4103011302103033000
5313440012313340
613230002504000
71323651354003
oct230562231700
957815822460
1020498166720
118769754059
123b80965000
131c1896a445
14dc652153a
157ee870d30
hex4c5c933c0

20498166720 has 896 divisors, whose sum is σ = 81637632000. Its totient is φ = 4817387520.

The previous prime is 20498166713. The next prime is 20498166727. The reversal of 20498166720 is 2766189402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20498166713) and next prime (20498166727).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20498166727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230316436 + ... + 230316524.

Almost surely, 220498166720 is an apocalyptic number.

20498166720 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 20498166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40818816000).

20498166720 is an abundant number, since it is smaller than the sum of its proper divisors (61139465280).

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

20498166720 is a wasteful number, since it uses less digits than its factorization.

20498166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 20498166720 in words is "twenty billion, four hundred ninety-eight million, one hundred sixty-six thousand, seven hundred twenty".