Search a number
-
+
13357401480 = 23325411675419
BaseRepresentation
bin11000111000010100…
…11100010110001000
31021110220022022010100
430130022130112020
5204323443321410
610045235245400
7652003016313
oct143412342610
937426268110
1013357401480
1157349a5485
122709449860
13134b449a77
1490a00197a
155329ed8c0
hex31c29c588

13357401480 has 192 divisors, whose sum is σ = 44744918400. Its totient is φ = 3453649920.

The previous prime is 13357401461. The next prime is 13357401503. The reversal of 13357401480 is 8410475331.

It is a happy number.

13357401480 is a `hidden beast` number, since 1 + 3 + 3 + 574 + 0 + 1 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2462211 + ... + 2467629.

It is an arithmetic number, because the mean of its divisors is an integer number (233046450).

Almost surely, 213357401480 is an apocalyptic number.

13357401480 is a gapful number since it is divisible by the number (10) 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 13357401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372459200).

13357401480 is an abundant number, since it is smaller than the sum of its proper divisors (31387516920).

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

13357401480 is a wasteful number, since it uses less digits than its factorization.

13357401480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13357401480 in words is "thirteen billion, three hundred fifty-seven million, four hundred one thousand, four hundred eighty".