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13404132032 = 26718213593
BaseRepresentation
bin11000111101111001…
…01101001011000000
31021121011020110101112
430132330231023000
5204422424211112
610054025022452
7653111146064
oct143674551300
937534213345
1013404132032
115759312875
122721024a28
13135802bc95
149122c7aa4
15536b7ea22
hex31ef2d2c0

13404132032 has 56 divisors (see below), whose sum is σ = 27013826592. Its totient is φ = 6597785600.

The previous prime is 13404131971. The next prime is 13404132059. The reversal of 13404132032 is 23023140431.

13404132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134041320323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13404131989 and 13404132007.

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 7 ways as a sum of consecutive naturals, for example, 3728828 + ... + 3732420.

Almost surely, 213404132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506913296).

13404132032 is an abundant number, since it is smaller than the sum of its proper divisors (13609694560).

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

13404132032 is an equidigital number, since it uses as much as digits as its factorization.

13404132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13404132032 its reverse (23023140431), we get a palindrome (36427272463).

The spelling of 13404132032 in words is "thirteen billion, four hundred four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 821 1136 1642 2272 3284 3593 4544 6568 7186 13136 14372 26272 28744 52544 57488 58291 114976 116582 229952 233164 255103 466328 510206 932656 1020412 1865312 2040824 2949853 3730624 4081648 5899706 8163296 11799412 16326592 23598824 47197648 94395296 188790592 209439563 418879126 837758252 1675516504 3351033008 6702066016 13404132032