Search a number
-
+
65403430456 = 23713751119627
BaseRepresentation
bin111100111010010110…
…010010011000111000
320020211002002111212011
4330322112102120320
52032421234233311
650013530255304
74503520662160
oct747226223070
9206732074764
1065403430456
1125812593371
1210813587534
13622405b910
14324636d5a0
151a7bce9321
hexf3a592638

65403430456 has 64 divisors (see below), whose sum is σ = 151133230080. Its totient is φ = 25839216000.

The previous prime is 65403430429. The next prime is 65403430459.

It is a happy number.

65403430456 is nontrivially palindromic in base 10.

65403430456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65403430459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486915 + ... + 606541.

It is an arithmetic number, because the mean of its divisors is an integer number (2361456720).

Almost surely, 265403430456 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 65403430456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75566615040).

65403430456 is an abundant number, since it is smaller than the sum of its proper divisors (85729799624).

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

65403430456 is a wasteful number, since it uses less digits than its factorization.

65403430456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120404 (or 120400 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 65403430456 in words is "sixty-five billion, four hundred three million, four hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 751 1502 3004 5257 6008 9763 10514 19526 21028 39052 42056 68341 78104 119627 136682 239254 273364 478508 546728 837389 957016 1555151 1674778 3110302 3349556 6220604 6699112 10886057 12441208 21772114 43544228 87088456 89839877 179679754 359359508 628879139 718719016 1167918401 1257758278 2335836802 2515516556 4671673604 5031033112 8175428807 9343347208 16350857614 32701715228 65403430456