Search a number
-
+
216281919552 = 26317595311131
BaseRepresentation
bin1100100101101101101…
…0000011000001000000
3202200021001120220012220
43021123122003001000
512020421132411202
6243205240051040
721424444661136
oct3113332030100
9680231526186
10216281919552
11837a7561366
1235b00463a80
131751a6126ba
14a67a67b756
15595caa6abc
hex325b683040

216281919552 has 112 divisors (see below), whose sum is σ = 606063661632. Its totient is φ = 67835658240.

The previous prime is 216281919551. The next prime is 216281919593. The reversal of 216281919552 is 255919182612.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 216281919495 and 216281919504.

It is not an unprimeable number, because it can be changed into a prime (216281919551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19425027 + ... + 19436157.

Almost surely, 2216281919552 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 216281919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303031830816).

216281919552 is an abundant number, since it is smaller than the sum of its proper divisors (389781742080).

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

216281919552 is a wasteful number, since it uses less digits than its factorization.

216281919552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17116 (or 17106 counting only the distinct ones).

The product of its digits is 777600, while the sum is 51.

The spelling of 216281919552 in words is "two hundred sixteen billion, two hundred eighty-one million, nine hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 5953 11131 11906 17859 22262 23812 33393 35718 44524 47624 66786 71436 89048 95248 101201 133572 142872 178096 189227 190496 202402 267144 285744 303603 356192 378454 380992 404804 534288 567681 571488 607206 712384 756908 809608 1068576 1135362 1142976 1214412 1513816 1619216 2137152 2270724 2428824 3027632 3238432 4541448 4857648 6055264 6476864 9082896 9715296 12110528 18165792 19430592 36331584 66262843 132525686 198788529 265051372 397577058 530102744 795154116 1060205488 1126468331 1590308232 2120410976 2252936662 3180616464 3379404993 4240821952 4505873324 6361232928 6758809986 9011746648 12722465856 13517619972 18023493296 27035239944 36046986592 54070479888 72093973184 108140959776 216281919552