Search a number
-
+
13473195840 = 26325132912409
BaseRepresentation
bin11001000110001000…
…01010011101000000
31021202222012021010100
430203010022131000
5210043114231330
610104533202400
7654610163226
oct144304123500
937688167110
1013473195840
1157942a44a5
122740190400
131369430640
1491b544b16
1553cc73060
hex32310a740

13473195840 has 336 divisors, whose sum is σ = 51632053200. Its totient is φ = 3201859584.

The previous prime is 13473195833. The next prime is 13473195859. The reversal of 13473195840 is 4859137431.

13473195840 is a `hidden beast` number, since 1 + 34 + 7 + 31 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3851940096 + 9621255744 = 62064^2 + 98088^2 .

It is a super-2 number, since 2×134731958402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1079556 + ... + 1091964.

It is an arithmetic number, because the mean of its divisors is an integer number (153666825).

Almost surely, 213473195840 is an apocalyptic number.

13473195840 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 13473195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25816026600).

13473195840 is an abundant number, since it is smaller than the sum of its proper divisors (38158857360).

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

13473195840 is a wasteful number, since it uses less digits than its factorization.

13473195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13473195840 in words is "thirteen billion, four hundred seventy-three million, one hundred ninety-five thousand, eight hundred forty".