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918212890625 = 5123761
BaseRepresentation
bin11010101110010011100…
…00001101000000000001
310020210001211112210021222
431113021300031000001
5110021000000000000
61541453212524425
7123224112536012
oct15271160150001
93223054483258
10918212890625
1132445926a118
12129b57780715
1368782b38174
14326281cd009
1518d41438a85
hexd5c9c0d001

918212890625 has 26 divisors (see below), whose sum is σ = 1148071288122. Its totient is φ = 734375000000.

The previous prime is 918212890571. The next prime is 918212890627. The reversal of 918212890625 is 526098212819.

It is a happy number.

It can be written as a sum of positive squares in 13 ways, for example, as 838264762624 + 79948128001 = 915568^2 + 282751^2 .

It is an automorphic number since its square, 843114912509918212890625, ends in 918212890625.

It is a trimorphic number since its cube, 774158980944775976240634918212890625, ends in 918212890625.

It is not a de Polignac number, because 918212890625 - 26 = 918212890561 is a prime.

It is a super-2 number, since 2×9182128906252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918212890627) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 244138745 + ... + 244142505.

Almost surely, 2918212890625 is an apocalyptic number.

It is an amenable number.

918212890625 is a deficient number, since it is larger than the sum of its proper divisors (229858397497).

918212890625 is an frugal number, since it uses more digits than its factorization.

918212890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 918212890625 in words is "nine hundred eighteen billion, two hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 3761 15625 18805 78125 94025 390625 470125 1953125 2350625 9765625 11753125 48828125 58765625 244140625 293828125 1469140625 7345703125 36728515625 183642578125 918212890625