Search a number
-
+
2093854145640 = 2335174831212461
BaseRepresentation
bin11110011110000011011…
…011101011110001101000
321102011121021222102222020
4132132003123223301220
5233301203130130030
64241523041024440
7304163441402565
oct36360333536150
97364537872866
102093854145640
11737aa9095604
12299977625120
131225ac9cb0aa
14734b35b586c
15396ec8bd510
hex1e7836ebc68

2093854145640 has 128 divisors (see below), whose sum is σ = 6652474168320. Its totient is φ = 525405081600.

The previous prime is 2093854145633. The next prime is 2093854145653. The reversal of 2093854145640 is 465414583902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9749010 + ... + 9961470.

It is an arithmetic number, because the mean of its divisors is an integer number (51972454440).

Almost surely, 22093854145640 is an apocalyptic number.

2093854145640 is a gapful number since it is divisible by the number (20) 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 2093854145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326237084160).

2093854145640 is an abundant number, since it is smaller than the sum of its proper divisors (4558620022680).

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

2093854145640 is a wasteful number, since it uses less digits than its factorization.

2093854145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217323 (or 217319 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 2093854145640 in words is "two trillion, ninety-three billion, eight hundred fifty-four million, one hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 4831 9662 14493 19324 24155 28986 38648 48310 57972 72465 82127 96620 115944 144930 164254 193240 212461 246381 289860 328508 410635 424922 492762 579720 637383 657016 821270 849844 985524 1062305 1231905 1274766 1642540 1699688 1971048 2124610 2463810 2549532 3186915 3285080 3611837 4249220 4927620 5099064 6373830 7223674 8498440 9855240 10835511 12747660 14447348 18059185 21671022 25495320 28894696 36118370 43342044 54177555 72236740 86684088 108355110 144473480 216710220 433420440 1026399091 2052798182 3079197273 4105596364 5131995455 6158394546 8211192728 10263990910 12316789092 15395986365 17448784547 20527981820 24633578184 30791972730 34897569094 41055963640 52346353641 61583945460 69795138188 87243922735 104692707282 123167890920 139590276376 174487845470 209385414564 261731768205 348975690940 418770829128 523463536410 697951381880 1046927072820 2093854145640