Search a number
-
+
20500542531 = 337224116427
BaseRepresentation
bin10011000101111011…
…010111010001000011
31221220201101110112000
4103011323113101003
5313441114330111
613230125435043
71324010510400
oct230573272103
957821343460
1020500542531
118770027037
123b8170ba83
131c192bc951
14dc697d2a7
157eeb8ec56
hex4c5ed7443

20500542531 has 48 divisors (see below), whose sum is σ = 35349886080. Its totient is φ = 11707914960.

The previous prime is 20500542527. The next prime is 20500542593. The reversal of 20500542531 is 13524500502.

It is a happy number.

20500542531 is a `hidden beast` number, since 20 + 50 + 0 + 542 + 53 + 1 = 666.

It is not a de Polignac number, because 20500542531 - 22 = 20500542527 is a prime.

It is a super-2 number, since 2×205005425312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20500542495 and 20500542504.

It is not an unprimeable number, because it can be changed into a prime (20500642531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3186540 + ... + 3192966.

It is an arithmetic number, because the mean of its divisors is an integer number (736455960).

Almost surely, 220500542531 is an apocalyptic number.

20500542531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20500542531 is a deficient number, since it is larger than the sum of its proper divisors (14849343549).

20500542531 is a wasteful number, since it uses less digits than its factorization.

20500542531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 20500542531 in words is "twenty billion, five hundred million, five hundred forty-two thousand, five hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 2411 6427 7233 16877 19281 21699 44989 50631 57843 65097 118139 134967 151893 173529 314923 354417 404901 455679 944769 1063251 1214703 2834307 3189753 8502921 15495497 46486491 108468479 139459473 325405437 418378419 759279353 976216311 2277838059 2928648933 6833514177 20500542531