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205125022032 = 2437610491137
BaseRepresentation
bin1011111100001001100…
…1110111000101010000
3201121110111220210001020
42333002121313011100
511330044001201112
6234122205035440
720551121630130
oct2770231670520
9647414823036
10205125022032
1179aa18000a7
1233907b55b80
13164600427a8
149cdca08ac0
15550837448c
hex2fc2677150

205125022032 has 40 divisors (see below), whose sum is σ = 605607208896. Its totient is φ = 58607149056.

The previous prime is 205125022001. The next prime is 205125022043. The reversal of 205125022032 is 230220521502.

205125022032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205125021993 and 205125022011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 305245233 + ... + 305245904.

Almost surely, 2205125022032 is an apocalyptic number.

It is an amenable number.

205125022032 is an abundant number, since it is smaller than the sum of its proper divisors (400482186864).

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

205125022032 is a wasteful number, since it uses less digits than its factorization.

205125022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610491155 (or 610491149 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 205125022032 its reverse (230220521502), we get a palindrome (435345543534).

The spelling of 205125022032 in words is "two hundred five billion, one hundred twenty-five million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 610491137 1220982274 1831473411 2441964548 3662946822 4273437959 4883929096 7325893644 8546875918 9767858192 12820313877 14651787288 17093751836 25640627754 29303574576 34187503672 51281255508 68375007344 102562511016 205125022032