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3601105884964 = 227289215232
BaseRepresentation
bin110100011001110010101…
…000110001011100100100
3110202021002021001002220201
4310121302220301130210
5433000031101304324
611354154124440244
7521112521655400
oct64316250613444
913667067032821
103601105884964
111169247433a95
124a1b030a9084
1320177661b8c3
14c6419dac100
1563a1670b444
hex34672a31724

3601105884964 has 81 divisors (see below), whose sum is σ = 7418988277617. Its totient is φ = 1524988331328.

The previous prime is 3601105884947. The next prime is 3601105885033. The reversal of 3601105884964 is 4694885011063.

The square root of 3601105884964 is 1897658.

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., 691488707364 + 2909617177600 = 831558^2 + 1705760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2364481107 + ... + 2364482629.

Almost surely, 23601105884964 is an apocalyptic number.

3601105884964 is the 1897658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601105884964

3601105884964 is an abundant number, since it is smaller than the sum of its proper divisors (3817882392653).

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

3601105884964 is an frugal number, since it uses more digits than its factorization.

3601105884964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 3601105884964 in words is "three trillion, six hundred one billion, one hundred five million, eight hundred eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 1523 2492 3046 4361 6092 7921 8722 10661 15842 17444 21322 31684 42644 55447 74627 110894 135547 149254 221788 271094 298508 388129 542188 776258 948829 1552516 1897658 2319529 3795316 4639058 6641803 9278116 12063683 13283606 16236703 24127366 26567212 32473406 48254732 64946812 84445781 113656921 168891562 206438081 227313842 337783124 412876162 454627684 591120467 825752324 1182240934 1445066567 2364481868 2890133134 5780266268 10115465969 18372989209 20230931938 36745978418 40461863876 73491956836 128610924463 257221848926 514443697852 900276471241 1800552942482 3601105884964