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316689813504 = 212349772
BaseRepresentation
bin1001001101111000010…
…11110001000000000000
31010021102122202101210000
410212330023301000000
520142040043013004
6401252453440000
731610603666631
oct4467413610000
91107378671700
10316689813504
111123421641a9
1251462940000
1323b2c7987bc
1411483959888
158387a13c39
hex49bc2f1000

316689813504 has 195 divisors, whose sum is σ = 947013498277. Its totient is φ = 105455222784.

The previous prime is 316689813487. The next prime is 316689813509. The reversal of 316689813504 is 405318986613.

The square root of 316689813504 is 562752.

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

316689813504 is a `hidden beast` number, since 31 + 6 + 6 + 8 + 98 + 13 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 296284262400 + 20405551104 = 544320^2 + 142848^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316689813509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 324144664 + ... + 324145640.

Almost surely, 2316689813504 is an apocalyptic number.

316689813504 is the 562752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316689813504

316689813504 is an abundant number, since it is smaller than the sum of its proper divisors (630323684773).

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

316689813504 is an frugal number, since it uses more digits than its factorization.

316689813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 316689813504 in words is "three hundred sixteen billion, six hundred eighty-nine million, eight hundred thirteen thousand, five hundred four".