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316478254096 = 2417282732
BaseRepresentation
bin1001001101011111001…
…00101110110000010000
31010020212220200001211101
410212233210232300100
520141121413112341
6401215455154144
731602424526434
oct4465744566020
91106786601741
10316478254096
111122437a6514
1251403b15954
1323ac79c4c14
14114638089c4
158374174831
hex49af92ec10

316478254096 has 45 divisors (see below), whose sum is σ = 651446292151. Its totient is φ = 148912941056.

The previous prime is 316478254091. The next prime is 316478254117. The reversal of 316478254096 is 690452874613.

The square root of 316478254096 is 562564.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92029716496 + 224448537600 = 303364^2 + 473760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316478254091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38250216 + ... + 38258488.

It is a 1-persistent number, because it is pandigital, but 2⋅316478254096 = 632956508192 is not.

Almost surely, 2316478254096 is an apocalyptic number.

316478254096 is the 562564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316478254096

316478254096 is an abundant number, since it is smaller than the sum of its proper divisors (334968038055).

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

316478254096 is an frugal number, since it uses more digits than its factorization.

316478254096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 316478254096 in words is "three hundred sixteen billion, four hundred seventy-eight million, two hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 8273 16546 33092 66184 132368 140641 281282 562564 1125128 2250256 2390897 4781794 9563588 19127176 38254352 68442529 136885058 273770116 547540232 1095080464 1163522993 2327045986 4654091972 9308183944 18616367888 19779890881 39559781762 79119563524 158239127048 316478254096