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13531102416 = 2432137228153
BaseRepresentation
bin11001001101000010…
…00011110011010000
31021221000011020000100
430212201003303100
5210202430234131
610114402252400
7656212321116
oct144641036320
937830136010
1013531102416
115813a55577
122757657100
1313784267a0
149250d9ab6
15542db07e6
hex326843cd0

13531102416 has 60 divisors (see below), whose sum is σ = 40781244868. Its totient is φ = 4163415552.

The previous prime is 13531102393. The next prime is 13531102457. The reversal of 13531102416 is 61420113531.

It is a happy number.

13531102416 is a `hidden beast` number, since 13 + 531 + 102 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9119486016 + 4411616400 = 95496^2 + 66420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13531102416.

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, 3612205 + ... + 3615948.

Almost surely, 213531102416 is an apocalyptic number.

13531102416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13531102416 is an abundant number, since it is smaller than the sum of its proper divisors (27250142452).

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

13531102416 is a wasteful number, since it uses less digits than its factorization.

13531102416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228180 (or 7228171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13531102416 its reverse (61420113531), we get a palindrome (74951215947).

The spelling of 13531102416 in words is "thirteen billion, five hundred thirty-one million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7228153 14456306 21684459 28912612 43368918 57825224 65053377 86737836 93965989 115650448 130106754 173475672 187931978 260213508 281897967 346951344 375863956 520427016 563795934 751727912 845693901 1040854032 1127591868 1503455824 1691387802 2255183736 3382775604 4510367472 6765551208 13531102416