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216386850276 = 22344326012
BaseRepresentation
bin1100100110000110101…
…0010100110111100100
3202200112101000221010000
43021201222110313210
512021130013202101
6243223505101300
721430160610462
oct3114152246744
9680471027100
10216386850276
1183850810373
1235b2b627830
131753629159c
14a68a593832
155966dd2486
hex3261a94de4

216386850276 has 135 divisors (see below), whose sum is σ = 580104437913. Its totient is φ = 70334308800.

The previous prime is 216386850271. The next prime is 216386850289. The reversal of 216386850276 is 672058683612.

The square root of 216386850276 is 465174.

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

216386850276 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 8 + 68 + 502 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 181880072676 + 34506777600 = 426474^2 + 185760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (216386850271) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 360044376 + ... + 360044976.

Almost surely, 2216386850276 is an apocalyptic number.

216386850276 is the 465174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216386850276

216386850276 is an abundant number, since it is smaller than the sum of its proper divisors (363717587637).

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

216386850276 is an frugal number, since it uses more digits than its factorization.

216386850276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 2163868 and 50276, that added together give a square (2214144 = 14882).

The spelling of 216386850276 in words is "two hundred sixteen billion, three hundred eighty-six million, eight hundred fifty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 601 774 1161 1202 1548 1803 1849 2322 2404 3483 3606 3698 4644 5409 5547 6966 7212 7396 10818 11094 13932 16227 16641 21636 22188 25843 32454 33282 48681 49923 51686 64908 66564 77529 97362 99846 103372 149769 155058 194724 199692 232587 299538 310116 361201 465174 599076 697761 722402 930348 1083603 1111249 1395522 1444804 2093283 2167206 2222498 2791044 3250809 3333747 4186566 4334412 4444996 6501618 6667494 8373132 9752427 10001241 13003236 13334988 15531643 19504854 20002482 29257281 30003723 31063286 39009708 40004964 46594929 58514562 60007446 62126572 90011169 93189858 117029124 120014892 139784787 180022338 186379716 279569574 360044676 419354361 559139148 667860649 838708722 1258063083 1335721298 1677417444 2003581947 2516126166 2671442596 4007163894 5032252332 6010745841 8014327788 12021491682 18032237523 24042983364 36064475046 54096712569 72128950092 108193425138 216386850276