Search a number
-
+
20644526331 = 32111320397867
BaseRepresentation
bin10011001110100000…
…100111100011111011
31222021202022121011100
4103032200213203323
5314234444320311
613252311502443
71330406402262
oct231640474373
958252277140
1020644526331
11883432a210
124001987a23
131c40093370
14ddbb3d5d9
1580c631a56
hex4ce8278fb

20644526331 has 48 divisors (see below), whose sum is σ = 35054772480. Its totient is φ = 11542253760.

The previous prime is 20644526297. The next prime is 20644526387. The reversal of 20644526331 is 13362544602.

20644526331 is a `hidden beast` number, since 2 + 0 + 644 + 5 + 2 + 6 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 20644526331 - 217 = 20644395259 is a prime.

It is a super-2 number, since 2×206445263312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20644526731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2620260 + ... + 2628126.

It is an arithmetic number, because the mean of its divisors is an integer number (730307760).

Almost surely, 220644526331 is an apocalyptic number.

20644526331 is a deficient number, since it is larger than the sum of its proper divisors (14410246149).

20644526331 is a wasteful number, since it uses less digits than its factorization.

20644526331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20644526331 in words is "twenty billion, six hundred forty-four million, five hundred twenty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 2039 6117 7867 18351 22429 23601 26507 67287 70803 79521 86537 102271 201861 238563 259611 291577 306813 778833 874731 920439 1124981 2624193 3374943 10124829 16040813 48122439 144367317 176448943 208530569 529346829 625591707 1588040487 1876775121 2293836259 6881508777 20644526331