Search a number
-
+
631113817802985 = 335111752081480013
BaseRepresentation
bin1000111101111111101010001…
…0111011000100100011101001
310001202120220002002021211012000
42033133322202323010203221
51130210132044324143420
610114133404012441213
7246635316513033666
oct21737724273044351
93052526062254160
10631113817802985
1117310195a056980
125a94a104779209
132111ca1567010a
14b1bc100ccca6d
154ce6abaa8b690
hex23dfea2ec48e9

631113817802985 has 128 divisors (see below), whose sum is σ = 1296004621432320. Its totient is φ = 287988767539200.

The previous prime is 631113817802981. The next prime is 631113817802989. The reversal of 631113817802985 is 589208718311136.

It is a happy number.

631113817802985 is a `hidden beast` number, since 6 + 311 + 13 + 8 + 17 + 8 + 0 + 298 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (631113817802981) and next prime (631113817802989).

It is not a de Polignac number, because 631113817802985 - 22 = 631113817802981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (631113817802981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1314544839 + ... + 1315024851.

It is an arithmetic number, because the mean of its divisors is an integer number (10125036104940).

Almost surely, 2631113817802985 is an apocalyptic number.

It is an amenable number.

631113817802985 is an abundant number, since it is smaller than the sum of its proper divisors (664890803629335).

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

631113817802985 is a wasteful number, since it uses less digits than its factorization.

631113817802985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532136 (or 532130 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 631113817802985 in words is "six hundred thirty-one trillion, one hundred thirteen billion, eight hundred seventeen million, eight hundred two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 8415 25245 52081 156243 260405 468729 480013 572891 781215 885377 1406187 1440039 1718673 2343645 2400065 2656131 2864455 4320117 4426885 5156019 5280143 7030935 7200195 7968393 8160221 8593365 9739147 12960351 13280655 15468057 15840429 21600585 23905179 24480663 25780095 26400715 29217441 39841965 40801105 47521287 48695735 64801755 73441989 77340285 79202145 87652323 89762431 119525895 122403315 142563861 146087205 220325967 237606435 262956969 269287293 367209945 438261615 448812155 712819305 807861879 1101629835 1314784845 1346436465 2423585637 4039309395 12117928185 24999557053 74998671159 124997785265 224996013477 274995127583 374993355795 424992469901 674988040431 824985382749 1124980067385 1274977409703 1374975637915 2124962349505 2474956148247 3374940202155 3824932229109 4124926913745 4674917168911 6374887048515 7424868444741 11474796687327 12374780741235 14024751506733 19124661145545 23374585844555 37124342223705 42074254520199 57373983436635 70123757533665 126222763560597 210371272600995 631113817802985