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13882023684 = 22327322692
BaseRepresentation
bin11001110110110111…
…01101111100000100
31022211110110212111100
430323123231330010
5211412244224214
610213255540100
71001003153154
oct147333557404
938743425440
1013882023684
115984049951
12283508a630
1314030430c9
14959966764
15563acc309
hex33b6edf04

13882023684 has 81 divisors (see below), whose sum is σ = 35710701663. Its totient is φ = 4546986624.

The previous prime is 13882023641. The next prime is 13882023689. The reversal of 13882023684 is 48632028831.

The square root of 13882023684 is 117822.

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

13882023684 is a `hidden beast` number, since 1 + 3 + 88 + 202 + 368 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2715452100 + 11166571584 = 52110^2 + 105672^2 .

It is not an unprimeable number, because it can be changed into a prime (13882023689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51605902 + ... + 51606170.

Almost surely, 213882023684 is an apocalyptic number.

13882023684 is the 117822-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13882023684

13882023684 is an abundant number, since it is smaller than the sum of its proper divisors (21828677979).

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

13882023684 is an equidigital number, since it uses as much as digits as its factorization.

13882023684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13882023684 in words is "thirteen billion, eight hundred eighty-two million, twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 269 292 438 538 657 807 876 1076 1314 1614 2421 2628 3228 4842 5329 9684 10658 15987 19637 21316 31974 39274 47961 58911 63948 72361 78548 95922 117822 144722 176733 191844 217083 235644 289444 353466 434166 651249 706932 868332 1302498 1433501 2604996 2867002 4300503 5282353 5734004 8601006 10564706 12901509 15847059 17202012 21129412 25803018 31694118 47541177 51606036 63388236 95082354 190164708 385611769 771223538 1156835307 1542447076 2313670614 3470505921 4627341228 6941011842 13882023684