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13035444444 = 22321132917789
BaseRepresentation
bin11000010001111100…
…10001100011011100
31020122110111012002200
430020332101203130
5203144033210234
65553254451500
7641013310131
oct141076214334
936573435080
1013035444444
11558a194390
122639663b90
1312c9831b49
148b9354588
15514603d99
hex308f918dc

13035444444 has 36 divisors (see below), whose sum is σ = 35946226680. Its totient is φ = 3950134560.

The previous prime is 13035444427. The next prime is 13035444451. The reversal of 13035444444 is 44444453031.

13035444444 is a `hidden beast` number, since 1 + 30 + 3 + 544 + 44 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130354444442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13035444399 and 13035444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16458499 + ... + 16459290.

Almost surely, 213035444444 is an apocalyptic number.

It is an amenable number.

13035444444 is an abundant number, since it is smaller than the sum of its proper divisors (22910782236).

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

13035444444 is a wasteful number, since it uses less digits than its factorization.

13035444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32917810 (or 32917805 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 13035444444 its reverse (44444453031), we get a palindrome (57479897475).

The spelling of 13035444444 in words is "thirteen billion, thirty-five million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 32917789 65835578 98753367 131671156 197506734 296260101 362095679 395013468 592520202 724191358 1086287037 1185040404 1448382716 2172574074 3258861111 4345148148 6517722222 13035444444