Search a number
-
+
3887239512856 = 2375349910132591
BaseRepresentation
bin111000100100010001100…
…001111100001100011000
3111202121122101221110002111
4320210101201330030120
51002142031303402411
612133435001242104
7550562263453150
oct70442141741430
914677571843074
103887239512856
111269629401727
12529458793334
132227467274ab
14d620169d760
156b1b1880721
hex3891187c318

3887239512856 has 128 divisors (see below), whose sum is σ = 8515653120000. Its totient is φ = 1629011704320.

The previous prime is 3887239512847. The next prime is 3887239512881. The reversal of 3887239512856 is 6582159327883.

It is a super-2 number, since 2×38872395128562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3887239512791 and 3887239512800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500284121 + ... + 1500286711.

It is an arithmetic number, because the mean of its divisors is an integer number (66528540000).

Almost surely, 23887239512856 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 3887239512856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257826560000).

3887239512856 is an abundant number, since it is smaller than the sum of its proper divisors (4628413607144).

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

3887239512856 is a wasteful number, since it uses less digits than its factorization.

3887239512856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4165 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 67.

The spelling of 3887239512856 in words is "three trillion, eight hundred eighty-seven billion, two hundred thirty-nine million, five hundred twelve thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 499 742 998 1013 1484 1996 2026 2591 2968 3493 3992 4052 5182 6986 7091 8104 10364 13972 14182 18137 20728 26447 27944 28364 36274 52894 53689 56728 72548 105788 107378 137323 145096 185129 211576 214756 274646 370258 375823 429512 505487 549292 740516 751646 961261 1010974 1098584 1292909 1481032 1503292 1922522 2021948 2585818 2624683 3006584 3538409 3845044 4043896 5171636 5249366 7076818 7690088 9050363 10343272 10498732 14153636 18100726 18372781 20997464 26790811 28307272 36201452 36745562 53581622 68524177 72402904 73491124 107163244 137048354 139108199 146982248 187535677 214326488 274096708 278216398 375071354 479669239 548193416 556432796 750142708 959338478 973757393 1112865592 1309716817 1500285416 1918676956 1947514786 2619433634 3837353912 3895029572 5238867268 7790059144 9168017719 10477734536 18336035438 36672070876 69414991301 73344141752 138829982602 277659965204 485904939107 555319930408 971809878214 1943619756428 3887239512856