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1980166536 = 2332972811009
BaseRepresentation
bin111011000000110…
…1111000110001000
312010000000212211100
41312001233012020
513023410312121
6524253501400
7100033065165
oct16601570610
95100025740
101980166536
11926830477
124731a1860
1325732199a
1414adb506c
15b8c96026
hex7606f188

1980166536 has 96 divisors (see below), whose sum is σ = 5442910200. Its totient is φ = 650280960.

The previous prime is 1980166523. The next prime is 1980166597. The reversal of 1980166536 is 6356610891.

It can be written as a sum of positive squares in 4 ways, for example, as 1639764036 + 340402500 = 40494^2 + 18450^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1980166491 and 1980166500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962000 + ... + 1963008.

Almost surely, 21980166536 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 1980166536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721455100).

1980166536 is an abundant number, since it is smaller than the sum of its proper divisors (3462743664).

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

1980166536 is a wasteful number, since it uses less digits than its factorization.

1980166536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1980166536 is about 44499.0621923654. The cubic root of 1980166536 is about 1255.7424401216.

The spelling of 1980166536 in words is "one billion, nine hundred eighty million, one hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 281 291 388 562 582 776 843 873 1009 1124 1164 1686 1746 2018 2248 2328 2529 3027 3372 3492 4036 5058 6054 6744 6984 8072 9081 10116 12108 18162 20232 24216 27257 36324 54514 72648 81771 97873 109028 163542 195746 218056 245313 283529 293619 327084 391492 490626 567058 587238 654168 782984 850587 880857 981252 1134116 1174476 1701174 1761714 1962504 2268232 2348952 2551761 3402348 3523428 5103522 6804696 7046856 10207044 20414088 27502313 55004626 82506939 110009252 165013878 220018504 247520817 330027756 495041634 660055512 990083268 1980166536