Search a number
-
+
5401064680704 = 2832711531274523
BaseRepresentation
bin100111010011000100010…
…0010101010110100000000
3201010100002111001212202200
41032212020202222310000
51201442340024240304
615253114224313200
71065133263204420
oct116461042526400
921110074055680
105401064680704
1117a2640230270
12732919772800
1330241a168094
141495ad0d2480
1595762825e39
hex4e9888aad00

5401064680704 has 864 divisors, whose sum is σ = 19941683134464. Its totient is φ = 1365264875520.

The previous prime is 5401064680699. The next prime is 5401064680709. The reversal of 5401064680704 is 4070864601045.

It is an interprime number because it is at equal distance from previous prime (5401064680699) and next prime (5401064680709).

It is a self number, because there is not a number n which added to its sum of digits gives 5401064680704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5401064680709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194130987 + ... + 1194135509.

It is an arithmetic number, because the mean of its divisors is an integer number (23080651776).

Almost surely, 25401064680704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401064680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970841567232).

5401064680704 is an abundant number, since it is smaller than the sum of its proper divisors (14540618453760).

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

5401064680704 is a wasteful number, since it uses less digits than its factorization.

5401064680704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5401064680704 in words is "five trillion, four hundred one billion, sixty-four million, six hundred eighty thousand, seven hundred four".