Search a number
-
+
5449722167296 = 2161128292
BaseRepresentation
bin100111101001101110011…
…0000010000000000000000
3201021222200111201022012201
41033103130300100000000
51203242012333323141
615331322351202544
71101505124053051
oct117233460200000
921258614638181
105449722167296
11181123a0a9100
12740238b16454
13306ba2a36274
1414baa73d6728
1596b5e3ce031
hex4f4dcc10000

5449722167296 has 153 divisors (see below), whose sum is σ = 11994758487453. Its totient is φ = 2474158325760.

The previous prime is 5449722167273. The next prime is 5449722167317. The reversal of 5449722167296 is 6927612279445.

The square root of 5449722167296 is 2334464.

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., 3137376157696 + 2312346009600 = 1771264^2 + 1520640^2 .

It is a super-2 number, since 2×54497221672962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 6573850210 + ... + 6573851038.

Almost surely, 25449722167296 is an apocalyptic number.

5449722167296 is the 2334464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5449722167296

5449722167296 is an abundant number, since it is smaller than the sum of its proper divisors (6545036320157).

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

5449722167296 is an frugal number, since it uses more digits than its factorization.

5449722167296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 842 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

Multiplying 5449722167296 by its sum of digits (64), we get a square (348782218706944 = 186757122).

5449722167296 divided by its sum of digits (64) gives a square (85151908864 = 2918082).

The spelling of 5449722167296 in words is "five trillion, four hundred forty-nine billion, seven hundred twenty-two million, one hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 829 968 1024 1408 1658 1936 2048 2816 3316 3872 4096 5632 6632 7744 8192 9119 11264 13264 15488 16384 18238 22528 26528 30976 32768 36476 45056 53056 61952 65536 72952 90112 100309 106112 123904 145904 180224 200618 212224 247808 291808 360448 401236 424448 495616 583616 687241 720896 802472 848896 991232 1167232 1374482 1604944 1697792 1982464 2334464 2748964 3209888 3395584 3964928 4668928 5497928 6419776 6791168 7559651 7929856 9337856 10995856 12839552 13582336 15119302 18675712 21991712 25679104 27164672 30238604 37351424 43983424 51358208 54329344 60477208 74702848 83156161 87966848 102716416 120954416 149405696 166312322 175933696 205432832 241908832 298811392 332624644 351867392 410865664 483817664 597622784 665249288 703734784 821731328 967635328 1330498576 1407469568 1643462656 1935270656 2660997152 2814939136 3286925312 3870541312 5321994304 5629878272 6573850624 7741082624 10643988608 11259756544 15482165248 21287977216 22519513088 30964330496 42575954432 45039026176 61928660992 85151908864 123857321984 170303817728 247714643968 340607635456 495429287936 681215270912 1362430541824 2724861083648 5449722167296