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316411313264 = 24174147959233
BaseRepresentation
bin1001001101010111001…
…01010111110001110000
31010020201020201010021022
410212223211113301300
520141002244011024
6401205104315012
731600652533604
oct4465345276160
91106636633238
10316411313264
11112209a34912
12513a5612a68
1323ab6b87967
1411458981504
15836d35035e
hex49ab957c70

316411313264 has 80 divisors (see below), whose sum is σ = 666339851520. Its totient is φ = 144962027520.

The previous prime is 316411313177. The next prime is 316411313297. The reversal of 316411313264 is 462313114613.

It is a happy number.

It is a super-2 number, since 2×3164113132642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5312192 + ... + 5371424.

It is an arithmetic number, because the mean of its divisors is an integer number (8329248144).

Almost surely, 2316411313264 is an apocalyptic number.

316411313264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316411313264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333169925760).

316411313264 is an abundant number, since it is smaller than the sum of its proper divisors (349928538256).

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

316411313264 is a wasteful number, since it uses less digits than its factorization.

316411313264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59778 (or 59772 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

Adding to 316411313264 its reverse (462313114613), we get a palindrome (778724427877).

The spelling of 316411313264 in words is "three hundred sixteen billion, four hundred eleven million, three hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 479 656 697 958 1394 1916 2788 3832 5576 7664 8143 11152 16286 19639 32572 39278 59233 65144 78556 118466 130288 157112 236932 314224 333863 473864 667726 947728 1006961 1335452 2013922 2428553 2670904 4027844 4857106 5341808 8055688 9714212 16111376 19428424 28372607 38856848 41285401 56745214 82570802 113490428 165141604 226980856 330283208 453961712 482334319 660566416 964668638 1163276887 1929337276 2326553774 3858674552 4653107548 7717349104 9306215096 18612430192 19775707079 39551414158 79102828316 158205656632 316411313264