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316000505070 = 233519389158351
BaseRepresentation
bin1001001100100110001…
…10010000110011101110
31010012122121200220101000
410212103012100303232
520134132112130240
6401100231301130
731554533655225
oct4462306206356
91105577626330
10316000505070
11112019057608
12512abb1a7a6
1323a4ca309a3
141141a1a5cbc
158347254430
hex4993190cee

316000505070 has 128 divisors (see below), whose sum is σ = 889304832000. Its totient is φ = 79625980800.

The previous prime is 316000505063. The next prime is 316000505071. The reversal of 316000505070 is 70505000613.

316000505070 is a `hidden beast` number, since 3 + 1 + 600 + 0 + 5 + 0 + 50 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316000505071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1916395 + ... + 2074745.

It is an arithmetic number, because the mean of its divisors is an integer number (6947694000).

Almost surely, 2316000505070 is an apocalyptic number.

316000505070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 316000505070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444652416000).

316000505070 is an abundant number, since it is smaller than the sum of its proper divisors (573304326930).

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

316000505070 is a wasteful number, since it uses less digits than its factorization.

316000505070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158775 (or 158769 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 316000505070 its reverse (70505000613), we get a palindrome (386505505683).

The spelling of 316000505070 in words is "three hundred sixteen billion, five hundred five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 389 513 570 778 855 1026 1167 1710 1945 2334 2565 3501 3890 5130 5835 7002 7391 10503 11670 14782 17505 21006 22173 35010 36955 44346 52515 66519 73910 105030 110865 133038 158351 199557 221730 316702 332595 399114 475053 665190 791755 950106 997785 1425159 1583510 1995570 2375265 2850318 3008669 4275477 4750530 6017338 7125795 8550954 9026007 14251590 15043345 18052014 21377385 27078021 30086690 42754770 45130035 54156042 61598539 81234063 90260070 123197078 135390105 162468126 184795617 270780210 307992695 369591234 406170315 554386851 615985390 812340630 923978085 1108773702 1170372241 1663160553 1847956170 2340744482 2771934255 3326321106 3511116723 5543868510 5851861205 7022233446 8315802765 10533350169 11703722410 16631605530 17555583615 21066700338 31600050507 35111167230 52666750845 63200101014 105333501690 158000252535 316000505070