Search a number
-
+
17900834436 = 223474332
BaseRepresentation
bin10000101010111110…
…010000111010000100
31201012112120121110000
4100222332100322010
5243130103200221
612120141001300
71202412403452
oct205276207204
951175517400
1017900834436
117656610951
123576b53230
1318c381c834
14c1b5b59d2
156eb81ae26
hex42af90e84

17900834436 has 45 divisors (see below), whose sum is σ = 46802613781. Its totient is φ = 5966142048.

The previous prime is 17900834423. The next prime is 17900834453. The reversal of 17900834436 is 63443800971.

The square root of 17900834436 is 133794.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1067328900 + 16833505536 = 32670^2 + 129744^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17900834391 and 17900834400.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2404576 + ... + 2412008.

Almost surely, 217900834436 is an apocalyptic number.

17900834436 is the 133794-th square number.

It is an amenable number.

17900834436 is an abundant number, since it is smaller than the sum of its proper divisors (28901779345).

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

17900834436 is an frugal number, since it uses more digits than its factorization.

17900834436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14882 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 179008 and 34436, that added together give a square (213444 = 4622).

The spelling of 17900834436 in words is "seventeen billion, nine hundred million, eight hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 7433 14866 22299 29732 44598 66897 89196 133794 200691 267588 401382 602073 802764 1204146 2408292 55249489 110498978 165748467 220997956 331496934 497245401 662993868 994490802 1491736203 1988981604 2983472406 4475208609 5966944812 8950417218 17900834436