Search a number
-
+
17027133288 = 233111095631051
BaseRepresentation
bin11111101101110010…
…10110111101101000
31121221122112222210020
433312321112331220
5234332421231123
611453330320440
71141643150004
oct176671267550
947848488706
1017027133288
117248411290
123372429120
1317b48035c9
14b77543704
15699c867e3
hex3f6e56f68

17027133288 has 128 divisors (see below), whose sum is σ = 46991577600. Its totient is φ = 5098464000.

The previous prime is 17027133281. The next prime is 17027133293. The reversal of 17027133288 is 88233172071.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (17027133281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16200363 + ... + 16201413.

It is an arithmetic number, because the mean of its divisors is an integer number (367121700).

Almost surely, 217027133288 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 17027133288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495788800).

17027133288 is an abundant number, since it is smaller than the sum of its proper divisors (29964444312).

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

17027133288 is a wasteful number, since it uses less digits than its factorization.

17027133288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 17027133288 in words is "seventeen billion, twenty-seven million, one hundred thirty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 563 654 872 1051 1126 1199 1308 1689 2102 2252 2398 2616 3153 3378 3597 4204 4504 4796 6193 6306 6756 7194 8408 9592 11561 12386 12612 13512 14388 18579 23122 24772 25224 28776 34683 37158 46244 49544 61367 69366 74316 92488 114559 122734 138732 148632 184101 229118 245468 277464 343677 368202 458236 490936 591713 675037 687354 736404 916472 1183426 1260149 1350074 1374708 1472808 1775139 2025111 2366852 2520298 2700148 2749416 3550278 3780447 4050222 4733704 5040596 5400296 6508843 7100556 7560894 8100444 10081192 13017686 14201112 15121788 16200888 19526529 26035372 30243576 39053058 52070744 64496717 78106116 128993434 156212232 193490151 257986868 386980302 515973736 709463887 773960604 1418927774 1547921208 2128391661 2837855548 4256783322 5675711096 8513566644 17027133288