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13418668032 = 213372111013
BaseRepresentation
bin11000111111101000…
…01010000000000000
31021122011120222000220
430133310022000000
5204440134334112
610055304343040
7653345540100
oct143764120000
937564528026
1013418668032
1157665409a0
122725a74a80
13135b04b373
149141cd200
155380a198c
hex31fd0a000

13418668032 has 336 divisors, whose sum is σ = 45451422432. Its totient is φ = 3481927680.

The previous prime is 13418667989. The next prime is 13418668033. The reversal of 13418668032 is 23086681431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13418668033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13245958 + ... + 13246970.

Almost surely, 213418668032 is an apocalyptic number.

13418668032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13418668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725711216).

13418668032 is an abundant number, since it is smaller than the sum of its proper divisors (32032754400).

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

13418668032 is a wasteful number, since it uses less digits than its factorization.

13418668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13418668032 in words is "thirteen billion, four hundred eighteen million, six hundred sixty-eight thousand, thirty-two".