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2669642281216 = 2817260072
BaseRepresentation
bin100110110110010011000…
…101000111000100000000
3100110012210221221100102001
4212312103011013010000
5322214411410444331
65402230003033344
7363606136656601
oct46662305070400
910405727840361
102669642281216
1193a209519a99
1237148996b854
131649914ac8b1
14932d602dda8
154969bd4a561
hex26d93147100

2669642281216 has 81 divisors (see below), whose sum is σ = 5661699871989. Its totient is φ = 1256093110272.

The previous prime is 2669642281157. The next prime is 2669642281231. The reversal of 2669642281216 is 6121822469662.

The square root of 2669642281216 is 1633904.

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., 2078441222400 + 591201058816 = 1441680^2 + 768896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 444418885 + ... + 444424891.

Almost surely, 22669642281216 is an apocalyptic number.

2669642281216 is the 1633904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2669642281216

2669642281216 is an abundant number, since it is smaller than the sum of its proper divisors (2992057590773).

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

2669642281216 is an frugal number, since it uses more digits than its factorization.

2669642281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12064 (or 6026 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 2669642281216 in words is "two trillion, six hundred sixty-nine billion, six hundred forty-two million, two hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 6007 9248 12014 18496 24028 36992 48056 73984 96112 102119 192224 204238 384448 408476 768896 816952 1537792 1633904 1736023 3267808 3472046 6535616 6944092 13071232 13888184 26142464 27776368 36084049 55552736 72168098 111105472 144336196 222210944 288672392 444421888 577344784 613428833 1154689568 1226857666 2309379136 2453715332 4618758272 4907430664 9237516544 9814861328 10428290161 19629722656 20856580322 39259445312 41713160644 78518890624 83426321288 157037781248 166852642576 333705285152 667410570304 1334821140608 2669642281216