Search a number
-
+
13357447488 = 2632711319131
BaseRepresentation
bin11000111000010101…
…00111100101000000
31021110220101122020100
430130022213211000
5204324001304423
610045240242400
7652003300410
oct143412474500
937426348210
1013357447488
115734a27000
122709470400
13134b4649a8
1490a014640
15532a0c343
hex31c2a7940

13357447488 has 672 divisors, whose sum is σ = 51048391680. Its totient is φ = 3261772800.

The previous prime is 13357447471. The next prime is 13357447513. The reversal of 13357447488 is 88474475331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101965183 + ... + 101965313.

Almost surely, 213357447488 is an apocalyptic number.

13357447488 is a gapful number since it is divisible by the number (18) 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 13357447488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25524195840).

13357447488 is an abundant number, since it is smaller than the sum of its proper divisors (37690944192).

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

13357447488 is a wasteful number, since it uses less digits than its factorization.

13357447488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 13357447488 in words is "thirteen billion, three hundred fifty-seven million, four hundred forty-seven thousand, four hundred eighty-eight".