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199699970562576 = 24321121070572
BaseRepresentation
bin101101011010000001000101…
…110011101001101000010000
3222012002010112022022110021100
4231122001011303221220100
5202133341014431000301
61544420522221224400
760030563302215561
oct5532010563515020
9865063468273240
10199699970562576
11586a3311240300
121a493238102100
13875781b3243a3
14374575ca1c168
1518149c4018286
hexb5a045ce9a10

199699970562576 has 135 divisors (see below), whose sum is σ = 614314663946893. Its totient is φ = 60514577333760.

The previous prime is 199699970562559. The next prime is 199699970562583. The reversal of 199699970562576 is 675265079996991.

The square root of 199699970562576 is 14131524.

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., 105396915690000 + 94303054872576 = 10266300^2 + 9710976^2 .

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, 1865307640 + ... + 1865414696.

Almost surely, 2199699970562576 is an apocalyptic number.

199699970562576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199699970562576 is the 14131524-th square number.

It is an amenable number.

199699970562576 is an abundant number, since it is smaller than the sum of its proper divisors (414614693384317).

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

199699970562576 is an frugal number, since it uses more digits than its factorization.

199699970562576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214150 (or 107073 counting only the distinct ones).

The product of its (nonzero) digits is 31248730800, while the sum is 90.

The spelling of 199699970562576 in words is "one hundred ninety-nine trillion, six hundred ninety-nine billion, nine hundred seventy million, five hundred sixty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 107057 214114 321171 428228 642342 856456 963513 1177627 1284684 1712912 1927026 2355254 2569368 3532881 3854052 4710508 5138736 7065762 7708104 9421016 10598643 12953897 14131524 15416208 18842032 21197286 25907794 28263048 38861691 42394572 51815588 56526096 77723382 84789144 103631176 116585073 155446764 169578288 207262352 233170146 310893528 466340292 621787056 932680584 1865361168 11461201249 22922402498 34383603747 45844804996 68767207494 91689609992 103150811241 126073213739 137534414988 183379219984 206301622482 252146427478 275068829976 378219641217 412603244964 504292854956 550137659952 756439282434 825206489928 1008585709912 1134658923651 1386805351129 1512878564868 1650412979856 2017171419824 2269317847302 2773610702258 3025757129736 4160416053387 4538635694604 5547221404516 6051514259472 8320832106774 9077271389208 11094442809032 12481248160161 16641664213548 18154542778416 22188885618064 24962496320322 33283328427096 49924992640644 66566656854192 99849985281288 199699970562576