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199383682576 = 241323122772
BaseRepresentation
bin1011100110110000110…
…0011000111000010000
3201001122101120111221011
42321230030120320100
511231314210320301
6231332352140304
720255625224131
oct2715414307020
9631571514834
10199383682576
1177615988861
1232785237694
1315a5672c400
1499162cbc88
1552be2d1a51
hex2e6c318e10

199383682576 has 135 divisors (see below), whose sum is σ = 433802686023. Its totient is φ = 88733249280.

The previous prime is 199383682501. The next prime is 199383682583. The reversal of 199383682576 is 675286383991.

The square root of 199383682576 is 446524.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92219112976 + 107164569600 = 303676^2 + 327360^2 .

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, 719796550 + ... + 719796826.

Almost surely, 2199383682576 is an apocalyptic number.

199383682576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199383682576 is the 446524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199383682576

199383682576 is an abundant number, since it is smaller than the sum of its proper divisors (234419003447).

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

199383682576 is an equidigital number, since it uses as much as digits as its factorization.

199383682576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 323 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 67.

The spelling of 199383682576 in words is "one hundred ninety-nine billion, three hundred eighty-three million, six hundred eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 277 338 403 496 554 676 806 961 1108 1352 1612 1922 2216 2704 3224 3601 3844 4432 5239 6448 7202 7688 8587 10478 12493 14404 15376 17174 20956 24986 28808 34348 41912 46813 49972 57616 68696 76729 83824 93626 99944 111631 137392 153458 162409 187252 199888 223262 266197 306916 324818 374504 446524 532394 613832 649636 749008 893048 997477 1064788 1227664 1299272 1451203 1786096 1994954 2129576 2378599 2598544 2902406 3460561 3989908 4259152 4757198 5804812 6921122 7979816 9514396 11609624 12967201 13842244 15959632 19028792 23219248 25934402 27684488 30921787 38057584 44987293 51868804 55368976 61843574 73736569 89974586 103737608 123687148 147473138 179949172 207475216 247374296 294946276 359898344 401983231 494748592 589892552 719796688 803966462 958575397 1179785104 1607932924 1917150794 3215865848 3834301588 6431731696 7668603176 12461480161 15337206352 24922960322 49845920644 99691841288 199383682576