Search a number
-
+
316613662464 = 2831153707131
BaseRepresentation
bin1001001101101111010…
…01010001011100000000
31010021020100110112012010
410212313221101130000
520141411044144324
6401241133332520
731605660504141
oct4466751213400
91107210415163
10316613662464
11112303181860
1251441337140
1323b19a85308
14114777b5ac8
158380ec0829
hex49b7a51700

316613662464 has 144 divisors (see below), whose sum is σ = 936604819584. Its totient is φ = 94133145600.

The previous prime is 316613662451. The next prime is 316613662483. The reversal of 316613662464 is 464266316613.

It is a happy number.

It is a super-2 number, since 2×3166136624642 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94179 + ... + 801309.

It is an arithmetic number, because the mean of its divisors is an integer number (6504200136).

Almost surely, 2316613662464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316613662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468302409792).

316613662464 is an abundant number, since it is smaller than the sum of its proper divisors (619991157120).

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

316613662464 is a wasteful number, since it uses less digits than its factorization.

316613662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707214 (or 707200 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 48.

The spelling of 316613662464 in words is "three hundred sixteen billion, six hundred thirteen million, six hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 528 583 636 704 768 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 2816 3392 3498 4224 4664 5088 6784 6996 8448 9328 10176 13568 13992 18656 20352 27984 37312 40704 55968 74624 111936 149248 223872 447744 707131 1414262 2121393 2828524 4242786 5657048 7778441 8485572 11314096 15556882 16971144 22628192 23335323 31113764 33942288 37477943 45256384 46670646 62227528 67884576 74955886 90512768 93341292 112433829 124455056 135769152 149911772 181025536 186682584 224867658 248910112 271538304 299823544 373365168 412257373 449735316 497820224 543076608 599647088 746730336 824514746 899470632 995640448 1199294176 1236772119 1493460672 1649029492 1798941264 1991280896 2398588352 2473544238 2986921344 3298058984 3597882528 4797176704 4947088476 5973842688 6596117968 7195765056 9594353408 9894176952 13192235936 14391530112 19788353904 26384471872 28783060224 39576707808 52768943744 79153415616 105537887488 158306831232 316613662464