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27861052329045 = 325132605272
BaseRepresentation
bin1100101010110111010000…
…01000001000110001010101
310122122111020122021212211200
412111123220020020301111
512122433413344012140
6135131105111223113
75603615564230425
oct625335010106125
9118574218255750
1027861052329045
118971895781561
12315b7aa077a99
131271394345600
146c46a6d5c485
15334ae3696030
hex1956e8208c55

27861052329045 has 54 divisors (see below), whose sum is σ = 52293916040418. Its totient is φ = 13715983764288.

The previous prime is 27861052329041. The next prime is 27861052329113. The reversal of 27861052329045 is 54092325016872.

27861052329045 is a `hidden beast` number, since 2 + 7 + 86 + 10 + 523 + 29 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 131886638244 + 27729165690801 = 363162^2 + 5265849^2 .

It is not a de Polignac number, because 27861052329045 - 22 = 27861052329041 is a prime.

It is a super-2 number, since 2×278610523290452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27861052328982 and 27861052329000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27861052329041) 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 53 ways as a sum of consecutive naturals, for example, 460277572 + ... + 460338098.

It is a 1-persistent number, because it is pandigital, but 2⋅27861052329045 = 55722104658090 is not.

Almost surely, 227861052329045 is an apocalyptic number.

It is an amenable number.

27861052329045 is a deficient number, since it is larger than the sum of its proper divisors (24432863711373).

27861052329045 is an frugal number, since it uses more digits than its factorization.

27861052329045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121091 (or 60548 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27861052329045 in words is "twenty-seven trillion, eight hundred sixty-one billion, fifty-two million, three hundred twenty-nine thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 60527 181581 302635 544743 786851 907905 2360553 2723715 3934255 7081659 10229063 11802765 30687189 35408295 51145315 92061567 153435945 460307835 3663517729 10990553187 18317588645 32971659561 47625730477 54952765935 142877191431 164858297805 238128652385 428631574293 619134496201 714385957155 1857403488603 2143157871465 3095672481005 5572210465809 9287017443015 27861052329045