Search a number
-
+
3678212752764 = 22311269415724919
BaseRepresentation
bin110101100001100110100…
…100001000010101111100
3111000122002222012211122020
4311201212210020111330
5440230434431042024
611453425252320140
7526512353352264
oct65414644102574
914018088184566
103678212752764
111198a15232020
124b4a42013050
13208b14248974
14ca0527dc7a4
1565a2abe5979
hex3586690857c

3678212752764 has 96 divisors (see below), whose sum is σ = 9400166899200. Its totient is φ = 1110154709760.

The previous prime is 3678212752763. The next prime is 3678212752769. The reversal of 3678212752764 is 4672572128763.

It is a junction number, because it is equal to n+sod(n) for n = 3678212752698 and 3678212752707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678212752763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147594297 + ... + 147619215.

It is an arithmetic number, because the mean of its divisors is an integer number (97918405200).

Almost surely, 23678212752764 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 3678212752764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700083449600).

3678212752764 is an abundant number, since it is smaller than the sum of its proper divisors (5721954146436).

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

3678212752764 is a wasteful number, since it uses less digits than its factorization.

3678212752764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29363 (or 29361 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 60.

The spelling of 3678212752764 in words is "three trillion, six hundred seventy-eight billion, two hundred twelve million, seven hundred fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 4157 5918 8314 8877 11836 12471 16628 17754 24919 24942 35508 45727 49838 49884 74757 91454 99676 137181 149514 182908 274109 274362 299028 548218 548724 822327 1096436 1118233 1644654 2236466 3289308 3354699 4472932 6703211 6709398 12300563 13406422 13418796 20109633 24601126 26812844 36901689 40219266 49202252 73735321 73803378 80438532 103588283 147470642 147606756 207176566 221205963 294941284 310764849 414353132 442411926 621529698 884823852 1139471113 1243059396 2278942226 3418413339 4557884452 6836826678 13673653356 27865248127 55730496254 83595744381 111460992508 167191488762 306517729397 334382977524 613035458794 919553188191 1226070917588 1839106376382 3678212752764