Search a number
-
+
216078460664 = 231153163284227
BaseRepresentation
bin1100100100111101000…
…1111010011011111000
3202122201212202010002112
43021033101322123320
512020012041220124
6243133131151452
721416424416423
oct3111721723370
9678655663075
10216078460664
1183702726720
1235a642a5588
13174b7416c21
14a65b6389ba
155949cb790e
hex324f47a6f8

216078460664 has 64 divisors (see below), whose sum is σ = 453082170240. Its totient is φ = 95772792960.

The previous prime is 216078460651. The next prime is 216078460727. The reversal of 216078460664 is 466064870612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618119 + ... + 902345.

It is an arithmetic number, because the mean of its divisors is an integer number (7079408910).

Almost surely, 2216078460664 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 216078460664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226541085120).

216078460664 is an abundant number, since it is smaller than the sum of its proper divisors (237003709576).

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

216078460664 is a wasteful number, since it uses less digits than its factorization.

216078460664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284460 (or 284456 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 216078460664 in words is "two hundred sixteen billion, seventy-eight million, four hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 163 212 326 424 583 652 1166 1304 1793 2332 3586 4664 7172 8639 14344 17278 34556 69112 95029 190058 284227 380116 568454 760232 1136908 2273816 3126497 6252994 12505988 15064031 25011976 30128062 46329001 60256124 92658002 120512248 165704341 185316004 331408682 370632008 509619011 662817364 1019238022 1325634728 2038476044 2455437053 4076952088 4910874106 9821748212 19643496424 27009807583 54019615166 108039230332 216078460664