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13411474560 = 273451129811
BaseRepresentation
bin11000111110110001…
…01101110010000000
31021121200001111110000
430133120231302000
5204431314141220
610054450240000
7653230436631
oct143730556200
937550044400
1013411474560
115762478380
122723586000
131359700083
14913279888
15537630390
hex31f62dc80

13411474560 has 640 divisors, whose sum is σ = 54117201600. Its totient is φ = 3135283200.

The previous prime is 13411474543. The next prime is 13411474561. The reversal of 13411474560 is 6547411431.

13411474560 is a `hidden beast` number, since 13 + 4 + 1 + 14 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (13411474561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16536555 + ... + 16537365.

Almost surely, 213411474560 is an apocalyptic number.

13411474560 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 13411474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058600800).

13411474560 is an abundant number, since it is smaller than the sum of its proper divisors (40705727040).

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

13411474560 is a wasteful number, since it uses less digits than its factorization.

13411474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 861 counting only the distinct ones).

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

Adding to 13411474560 its reverse (6547411431), we get a palindrome (19958885991).

The spelling of 13411474560 in words is "thirteen billion, four hundred eleven million, four hundred seventy-four thousand, five hundred sixty".