Search a number
-
+
20648863593225 = 3352731438339499
BaseRepresentation
bin1001011000111101100000…
…01011011111001100001001
32201010000022210210021202000
410230132300023133030021
510201302333034440400
6111525542412501213
74230555042405240
oct454366013371411
981100283707660
1020648863593225
11664115220242a
122395a7a77a809
13b6a2444240ca
145155a5d37957
1525c1ce920600
hex12c7b02df309

20648863593225 has 384 divisors, whose sum is σ = 46343700480000. Its totient is φ = 8814816057600.

The previous prime is 20648863593223. The next prime is 20648863593229. The reversal of 20648863593225 is 52239536884602.

20648863593225 is a `hidden beast` number, since 2 + 0 + 6 + 488 + 63 + 5 + 93 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 20648863593225 - 21 = 20648863593223 is a prime.

It is a super-2 number, since 2×206488635932252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20648863593223) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 522749526 + ... + 522789024.

It is an arithmetic number, because the mean of its divisors is an integer number (120686720000).

Almost surely, 220648863593225 is an apocalyptic number.

20648863593225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20648863593225 is an abundant number, since it is smaller than the sum of its proper divisors (25694836886775).

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

20648863593225 is a wasteful number, since it uses less digits than its factorization.

20648863593225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39682 (or 39671 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 20648863593225 in words is "twenty trillion, six hundred forty-eight billion, eight hundred sixty-three million, five hundred ninety-three thousand, two hundred twenty-five".