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13082326884 = 223211217332
BaseRepresentation
bin11000010111100010…
…00111011101100100
31020202201201001201100
430023301013131210
5203243033430014
610002051400100
7642122641464
oct141361073544
936681631640
1013082326884
1156036a5900
1226512b3030
131306468233
148c1679ba4
155187b5009
hex30bc47764

13082326884 has 81 divisors (see below), whose sum is σ = 36369793369. Its totient is φ = 3962053920.

The previous prime is 13082326877. The next prime is 13082326919. The reversal of 13082326884 is 48862328031.

The square root of 13082326884 is 114378.

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

13082326884 is a `hidden beast` number, since 1 + 308 + 2 + 3 + 268 + 84 = 666.

13082326884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5811012900 + 7271313984 = 76230^2 + 85272^2 .

It is a super-2 number, since 2×130823268842 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7548082 + ... + 7549814.

Almost surely, 213082326884 is an apocalyptic number.

13082326884 is the 114378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13082326884

13082326884 is an abundant number, since it is smaller than the sum of its proper divisors (23287466485).

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

13082326884 is a wasteful number, since it uses less digits than its factorization.

13082326884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 1749 counting only the distinct ones).

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

The spelling of 13082326884 in words is "thirteen billion, eighty-two million, three hundred twenty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1733 2178 3466 4356 5199 6932 10398 15597 19063 20796 31194 38126 57189 62388 76252 114378 171567 209693 228756 343134 419386 629079 686268 838772 1258158 1887237 2516316 3003289 3774474 6006578 7548948 9009867 12013156 18019734 27029601 33036179 36039468 54059202 66072358 99108537 108118404 132144716 198217074 297325611 363397969 396434148 594651222 726795938 1090193907 1189302444 1453591876 2180387814 3270581721 4360775628 6541163442 13082326884