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11941681284 = 22341324672
BaseRepresentation
bin10110001111100011…
…11001100010000100
31010211020101021010000
423013301321202010
5143424032300114
65252543401300
7601632421221
oct130761714204
933736337100
1011941681284
115078849995
1223932b3230
131184055c00
14813d9a948
1549d5a0e09
hex2c7c79884

11941681284 has 135 divisors (see below), whose sum is σ = 33876553557. Its totient is φ = 3666495456.

The previous prime is 11941681211. The next prime is 11941681307. The reversal of 11941681284 is 48218614911.

11941681284 = 13 + 23 + ... + 4673.

The square root of 11941681284 is 109278.

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., 1766520900 + 10175160384 = 42030^2 + 100872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25570819 + ... + 25571285.

Almost surely, 211941681284 is an apocalyptic number.

11941681284 is the 109278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11941681284

11941681284 is an abundant number, since it is smaller than the sum of its proper divisors (21934872273).

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

11941681284 is an equidigital number, since it uses as much as digits as its factorization.

11941681284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 485 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11941681284 in words is "eleven billion, nine hundred forty-one million, six hundred eighty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 467 468 507 676 702 934 1014 1053 1401 1404 1521 1868 2028 2106 2802 3042 4203 4212 4563 5604 6071 6084 8406 9126 12142 12609 13689 16812 18213 18252 24284 25218 27378 36426 37827 50436 54639 54756 72852 75654 78923 109278 151308 157846 163917 218089 218556 236769 315692 327834 436178 473538 491751 654267 655668 710307 872356 947076 983502 1308534 1420614 1962801 1967004 2130921 2617068 2835157 2841228 3925602 4261842 5670314 5888403 6392763 7851204 8505471 8523684 11340628 11776806 12785526 17010942 17665209 23553612 25516413 25571052 34021884 35330418 36857041 51032826 70660836 73714082 76549239 102065652 110571123 147428164 153098478 221142246 229647717 306196956 331713369 442284492 459295434 663426738 918590868 995140107 1326853476 1990280214 2985420321 3980560428 5970840642 11941681284