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813438040464 = 24367211932
BaseRepresentation
bin10111101011001001010…
…11110111100110010000
32212202121220011221000000
423311210223313212100
5101311410114243324
61421404400130000
7112524516155400
oct13654453674620
92782556157000
10813438040464
11293a82627465
12111796906900
135b92601b5ca
142b528d58800
151625ce1d9c9
hexbd64af7990

813438040464 has 315 divisors, whose sum is σ = 2751070923633. Its totient is φ = 232216056576.

The previous prime is 813438040447. The next prime is 813438040501. The reversal of 813438040464 is 464040834318.

The square root of 813438040464 is 901908.

It is a perfect power (a square), and thus also a powerful number.

813438040464 is a `hidden beast` number, since 81 + 34 + 3 + 80 + 4 + 0 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 417807104400 + 395630936064 = 646380^2 + 628992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 681841852 + ... + 681843044.

Almost surely, 2813438040464 is an apocalyptic number.

813438040464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

813438040464 is the 901908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813438040464

813438040464 is an abundant number, since it is smaller than the sum of its proper divisors (1937632883169).

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

813438040464 is an frugal number, since it uses more digits than its factorization.

813438040464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 813438040464 in words is "eight hundred thirteen billion, four hundred thirty-eight million, forty thousand, four hundred sixty-four".