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36315381872 = 247111911871307
BaseRepresentation
bin100001110100100100…
…001100000001110000
310110201212210112122102
4201310210030001300
51043333214204442
624403312355532
72423633436620
oct416444140160
9113655715572
1036315381872
11144460a49a0
127055b45ba8
1335698b6053
141a870b2880
15e282ad232
hex87490c070

36315381872 has 160 divisors (see below), whose sum is σ = 92488366080. Its totient is φ = 13382634240.

The previous prime is 36315381871. The next prime is 36315381877. The reversal of 36315381872 is 27818351363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36315381871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27784643 + ... + 27785949.

It is an arithmetic number, because the mean of its divisors is an integer number (578052288).

Almost surely, 236315381872 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 36315381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46244183040).

36315381872 is an abundant number, since it is smaller than the sum of its proper divisors (56172984208).

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

36315381872 is a wasteful number, since it uses less digits than its factorization.

36315381872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2533 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The spelling of 36315381872 in words is "thirty-six billion, three hundred fifteen million, three hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1187 1232 1307 1463 1672 2128 2374 2614 2926 3344 4748 5228 5852 8309 9149 9496 10456 11704 13057 14377 16618 18298 18992 20912 22553 23408 24833 26114 28754 33236 36596 45106 49666 52228 57508 66472 73192 90212 91399 99332 100639 104456 115016 132944 146384 157871 173831 180424 182798 198664 201278 208912 230032 248083 273163 315742 347662 360848 365596 397328 402556 496166 546326 631484 695324 731192 805112 992332 1092652 1262968 1390648 1462384 1551409 1610224 1736581 1912141 1984664 2185304 2525936 2781296 3102818 3473162 3824282 3969328 4370608 6205636 6946324 7648564 10859863 12411272 13892648 15297128 17065499 21719726 24822544 27785296 29476771 30594256 34130998 43439452 58953542 68261996 86878904 117907084 119458493 136523992 173757808 206337397 235814168 238916986 273047984 324244481 412674794 471628336 477833972 648488962 825349588 955667944 1296977924 1650699176 1911335888 2269711367 2593955848 3301398352 4539422734 5187911696 9078845468 18157690936 36315381872