Search a number
-
+
4352664380416 = 21011259272
BaseRepresentation
bin111111010101101111000…
…000111010010000000000
3120102002222122221110010021
4333111233000322100000
51032303224040133131
613131330355343224
7626320036532242
oct77255700722000
916362878843107
104352664380416
111428a55629400
125a36aa5b1b14
132575ba68ba01
141109549b2092
1578351da9e11
hex3f56f03a400

4352664380416 has 99 divisors (see below), whose sum is σ = 9565608853507. Its totient is φ = 1978150000640.

The previous prime is 4352664380401. The next prime is 4352664380447. The reversal of 4352664380416 is 6140834662534.

The square root of 4352664380416 is 2086304.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 734376045 + ... + 734381971.

Almost surely, 24352664380416 is an apocalyptic number.

4352664380416 is the 2086304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352664380416

4352664380416 is an abundant number, since it is smaller than the sum of its proper divisors (5212944473091).

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

4352664380416 is an frugal number, since it uses more digits than its factorization.

4352664380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 4352664380416 in words is "four trillion, three hundred fifty-two billion, six hundred sixty-four million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 5927 7744 11264 11854 15488 23708 30976 47416 61952 65197 94832 123904 130394 189664 260788 379328 521576 717167 758656 1043152 1434334 1517312 2086304 2868668 3034624 4172608 5737336 6069248 8345216 11474672 16690432 22949344 33380864 35129329 45898688 66761728 70258658 91797376 140517316 183594752 281034632 367189504 386422619 562069264 734379008 772845238 1124138528 1545690476 2248277056 3091380952 4250648809 4496554112 6182761904 8501297618 8993108224 12365523808 17002595236 17986216448 24731047616 34005190472 35972432896 49462095232 68010380944 98924190464 136020761888 197848380928 272041523776 395696761856 544083047552 1088166095104 2176332190208 4352664380416