Search a number
-
+
2119388579344 = 241727922712
BaseRepresentation
bin11110110101110101011…
…001110100011000010000
321111121111211112002000001
4132311311121310120100
5234211001434014334
64301344512335344
7306056265453661
oct36656531643020
97447454462001
102119388579344
11747911667583
122a2902b44554
13124b1bb8476a
1474816919368
153a1e445b714
hex1ed75674610

2119388579344 has 135 divisors (see below), whose sum is σ = 4434349771341. Its totient is φ = 981100823040.

The previous prime is 2119388579317. The next prime is 2119388579353. The reversal of 2119388579344 is 4439758839112.

The square root of 2119388579344 is 1455812.

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., 1650043011600 + 469345567744 = 1284540^2 + 685088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7820621929 + ... + 7820622199.

Almost surely, 22119388579344 is an apocalyptic number.

2119388579344 is the 1455812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119388579344

2119388579344 is an abundant number, since it is smaller than the sum of its proper divisors (2314961191997).

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

2119388579344 is an frugal number, since it uses more digits than its factorization.

2119388579344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 369 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 64.

Multiplying 2119388579344 by its sum of digits (64), we get a square (135640869078016 = 116464962).

The spelling of 2119388579344 in words is "two trillion, one hundred nineteen billion, three hundred eighty-eight million, five hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 271 272 289 316 542 578 632 1084 1156 1264 1343 2168 2312 2686 4336 4607 4624 5372 6241 9214 10744 12482 18428 21409 21488 22831 24964 36856 42818 45662 49928 73441 73712 78319 85636 91324 99856 106097 146882 156638 171272 182648 212194 293764 313276 342544 363953 365296 424388 587528 626552 727906 848776 1175056 1248497 1253104 1455812 1691311 1697552 1803649 2496994 2911624 3382622 3607298 4993988 5801839 5823248 6187201 6765244 7214596 9987976 11603678 12374402 13530488 14429192 19975952 21224449 23207356 24748804 27060976 28752287 28858384 42448898 46414712 49497608 57504574 84897796 92829424 98631263 98995216 115009148 169795592 197262526 230018296 339591184 394525052 458345281 460036592 488788879 789050104 916690562 977577758 1578100208 1676731471 1833381124 1955155516 3353462942 3666762248 3910311032 6706925884 7333524496 7791869777 7820622064 13413851768 15583739554 26827703536 31167479108 62334958216 124669916432 132461786209 264923572418 529847144836 1059694289672 2119388579344