Search a number
-
+
13375655748 = 223271321272473
BaseRepresentation
bin11000111010100000…
…00100111101000100
31021112011122201021100
430131100010331010
5204343131440443
610051130420100
7652314124620
oct143520047504
937464581240
1013375655748
115744233154
122713591630
13135216b700
1490c5d4180
155344073d3
hex31d404f44

13375655748 has 216 divisors, whose sum is σ = 42188310528. Its totient is φ = 3498453504.

The previous prime is 13375655747. The next prime is 13375655771. The reversal of 13375655748 is 84755657331.

13375655748 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 65 + 574 + 8 = 666.

Its product of digits (10584000) is a multiple of the sum of its prime divisors (2625).

It is a junction number, because it is equal to n+sod(n) for n = 13375655694 and 13375655703.

It is not an unprimeable number, because it can be changed into a prime (13375655747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5407440 + ... + 5409912.

Almost surely, 213375655748 is an apocalyptic number.

13375655748 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 13375655748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094155264).

13375655748 is an abundant number, since it is smaller than the sum of its proper divisors (28812654780).

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

13375655748 is a wasteful number, since it uses less digits than its factorization.

13375655748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2625 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 13375655748 in words is "thirteen billion, three hundred seventy-five million, six hundred fifty-five thousand, seven hundred forty-eight".