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18849560025664 = 26173231372
BaseRepresentation
bin1000100100100110000010…
…10101000101101001000000
32110202000000020200112222101
410102103001111011221000
54432312344331310124
6104031211320520144
73653556445416364
oct422230125055100
973660006615871
1018849560025664
116008065255845
122145207620054
13a6967656c504
14492475c552a4
1522a4c10d2644
hex1124c1545a40

18849560025664 has 63 divisors (see below), whose sum is σ = 37634053817467. Its totient is φ = 9367314489344.

The previous prime is 18849560025661. The next prime is 18849560025671. The reversal of 18849560025664 is 46652006594881.

It is a happy number.

The square root of 18849560025664 is 4341608.

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 16741256025664 + 2108304000000 = 4091608^2 + 1452000^2 .

It is a super-2 number, since 2×188495600256642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18849560025596 and 18849560025605.

It is not an unprimeable number, because it can be changed into a prime (18849560025661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6008783904 + ... + 6008787040.

Almost surely, 218849560025664 is an apocalyptic number.

18849560025664 is the 4341608-th square number.

It is an amenable number.

18849560025664 is a deficient number, since it is larger than the sum of its proper divisors (18784493791803).

18849560025664 is an frugal number, since it uses more digits than its factorization.

18849560025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 64.

18849560025664 divided by its sum of digits (64) gives a square (294524375401 = 5427012).

The spelling of 18849560025664 in words is "eighteen trillion, eight hundred forty-nine billion, five hundred sixty million, twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 173 346 692 1384 2768 3137 5536 6274 11072 12548 25096 29929 50192 59858 100384 119716 200768 239432 478864 542701 957728 1085402 1915456 2170804 4341608 8683216 9840769 17366432 19681538 34732864 39363076 78726152 93887273 157452304 187774546 314904608 375549092 629809216 751098184 1502196368 1702453037 3004392736 3404906074 6008785472 6809812148 13619624296 27239248592 54478497184 108956994368 294524375401 589048750802 1178097501604 2356195003208 4712390006416 9424780012832 18849560025664