Search a number
-
+
65404501344 = 253271319231223
BaseRepresentation
bin111100111010011010…
…010111110101100000
320020211011002220211200
4330322122113311200
52032422023020334
650014005241200
74503533042250
oct747232276540
9206734086750
1065404501344
11258131549a6
1210813a03200
136224345190
14324656b960
151a7be5b799
hexf3a697d60

65404501344 has 864 divisors, whose sum is σ = 250509901824. Its totient is φ = 15743600640.

The previous prime is 65404501301. The next prime is 65404501369. The reversal of 65404501344 is 44310540456.

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

It is a junction number, because it is equal to n+sod(n) for n = 65404501299 and 65404501308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293293617 + ... + 293293839.

It is an arithmetic number, because the mean of its divisors is an integer number (289942016).

Almost surely, 265404501344 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 65404501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254950912).

65404501344 is an abundant number, since it is smaller than the sum of its proper divisors (185105400480).

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

65404501344 is a wasteful number, since it uses less digits than its factorization.

65404501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 65404501344 in words is "sixty-five billion, four hundred four million, five hundred one thousand, three hundred forty-four".