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20531022534 = 2341139729021
BaseRepresentation
bin10011000111101111…
…101000101011000110
31221222211202000020000
4103013233220223012
5314021420210114
613233135022130
71324530545361
oct230757505306
957884660200
1020531022534
118786255120
123b8b96a946
131c22702259
14dcaa350d8
158026b0e09
hex4c7be8ac6

20531022534 has 80 divisors (see below), whose sum is σ = 50315093136. Its totient is φ = 6205636800.

The previous prime is 20531022529. The next prime is 20531022539. The reversal of 20531022534 is 43522013502.

It is a happy number.

20531022534 is a `hidden beast` number, since 20 + 5 + 3 + 102 + 2 + 534 = 666.

It is an interprime number because it is at equal distance from previous prime (20531022529) and next prime (20531022539).

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 = 20531022498 and 20531022507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20531022539) 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 39 ways as a sum of consecutive naturals, for example, 692944 + ... + 721964.

Almost surely, 220531022534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20531022534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157546568).

20531022534 is an abundant number, since it is smaller than the sum of its proper divisors (29784070602).

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

20531022534 is a wasteful number, since it uses less digits than its factorization.

20531022534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29443 (or 29434 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20531022534 in words is "twenty billion, five hundred thirty-one million, twenty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 397 594 794 891 1191 1782 2382 3573 4367 7146 8734 10719 13101 21438 26202 29021 32157 39303 58042 64314 78606 87063 117909 174126 235818 261189 319231 353727 522378 638462 707454 783567 957693 1567134 1915386 2350701 2873079 4701402 5746158 8619237 11521337 17238474 23042674 25857711 34564011 51715422 69128022 103692033 126734707 207384066 253469414 311076099 380204121 622152198 760408242 933228297 1140612363 1866456594 2281224726 3421837089 6843674178 10265511267 20531022534