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331713794916 = 2234746532
BaseRepresentation
bin1001101001110111010…
…11101101001101100100
31011201012201000201210000
410310323223231031210
520413322212414131
6412215345501300
732652114510000
oct4647353551544
91151181021700
10331713794916
11118751875869
1254356341830
132538529022a
14120ab023700
1589669b3ce6
hex4d3baed364

331713794916 has 225 divisors, whose sum is σ = 1013184333161. Its totient is φ = 94630231584.

The previous prime is 331713794903. The next prime is 331713794947. The reversal of 331713794916 is 619497317133.

The square root of 331713794916 is 575946.

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

331713794916 is a `hidden beast` number, since 3 + 3 + 17 + 137 + 9 + 491 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77189508900 + 254524286016 = 277830^2 + 504504^2 .

It is a super-2 number, since 2×3317137949162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 507984046 + ... + 507984698.

Almost surely, 2331713794916 is an apocalyptic number.

331713794916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

331713794916 is the 575946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331713794916

331713794916 is an abundant number, since it is smaller than the sum of its proper divisors (681470538245).

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

331713794916 is an frugal number, since it uses more digits than its factorization.

331713794916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 665 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 331713794916 in words is "three hundred thirty-one billion, seven hundred thirteen million, seven hundred ninety-four thousand, nine hundred sixteen".