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2027904902712 = 2332132341925487
BaseRepresentation
bin11101100000101000100…
…011010010011000111000
321011212101011211210011100
4131200220203102120320
5231211122123341322
64151335011531400
7266340242156403
oct35405043223070
97155334753140
102027904902712
117120364a5257
122890312b9b60
131192cc867020
1470218966d3a
1537b3cc0bdac
hex1d8288d2638

2027904902712 has 96 divisors (see below), whose sum is σ = 5917255606080. Its totient is φ = 623703525120.

The previous prime is 2027904902711. The next prime is 2027904902731. The reversal of 2027904902712 is 2172094097202.

It is a happy number.

2027904902712 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 90 + 490 + 2 + 71 + 2 = 666.

It is a super-2 number, since 2×20279049027122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027904902711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728433 + ... + 2653919.

It is an arithmetic number, because the mean of its divisors is an integer number (61638079230).

Almost surely, 22027904902712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027904902712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958627803040).

2027904902712 is an abundant number, since it is smaller than the sum of its proper divisors (3889350703368).

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

2027904902712 is a wasteful number, since it uses less digits than its factorization.

2027904902712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927853 (or 927846 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 2027904902712 its reverse (2172094097202), we get a palindrome (4199998999914).

The spelling of 2027904902712 in words is "two trillion, twenty-seven billion, nine hundred four million, nine hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2341 4682 7023 9364 14046 18728 21069 28092 30433 42138 56184 60866 84276 91299 121732 168552 182598 243464 273897 365196 547794 730392 925487 1095588 1850974 2191176 2776461 3701948 5552922 7403896 8329383 11105844 12031331 16658766 22211688 24062662 33317532 36093993 48125324 66635064 72187986 96250648 108281979 144375972 216563958 288751944 433127916 866255832 2166565067 4333130134 6499695201 8666260268 12999390402 17332520536 19499085603 25998780804 28165345871 38998171206 51997561608 56330691742 77996342412 84496037613 112661383484 155992684824 168992075226 225322766968 253488112839 337984150452 506976225678 675968300904 1013952451356 2027904902712