Search a number
-
+
3836250583552 = 29197223916987
BaseRepresentation
bin110111110100110010010…
…110100111001000000000
3111120202000220021110111101
4313310302112213020000
51000323120122133202
612054203231424144
7544105602635452
oct67646226471000
914522026243441
103836250583552
111249a43497432
1251b5a8685054
1321a9abb255ca
14d39658a42d2
1569bca294887
hex37d325a7200

3836250583552 has 80 divisors (see below), whose sum is σ = 7707811668480. Its totient is φ = 1907423981568.

The previous prime is 3836250583463. The next prime is 3836250583603. The reversal of 3836250583552 is 2553850526383.

It is a junction number, because it is equal to n+sod(n) for n = 3836250583493 and 3836250583502.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 225826003 + ... + 225842989.

It is an arithmetic number, because the mean of its divisors is an integer number (96347645856).

Almost surely, 23836250583552 is an apocalyptic number.

3836250583552 is a gapful number since it is divisible by the number (32) 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 3836250583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853905834240).

3836250583552 is an abundant number, since it is smaller than the sum of its proper divisors (3871561084928).

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

3836250583552 is a wasteful number, since it uses less digits than its factorization.

3836250583552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19441 (or 19425 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 55.

The spelling of 3836250583552 in words is "three trillion, eight hundred thirty-six billion, two hundred fifty million, five hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1576 2239 3152 4478 6304 8956 12608 16987 17912 25216 33974 35824 50432 67948 71648 100864 135896 143296 271792 286592 441083 543584 573184 882166 1087168 1146368 1764332 2174336 3346439 3528664 4348672 6692878 7057328 8697344 13385756 14114656 26771512 28229312 38033893 53543024 56458624 76067786 107086048 112917248 152135572 214172096 225834496 304271144 428344192 608542288 856688384 1217084576 1713376768 2434169152 4868338304 7492676921 9736676608 14985353842 19473353216 29970707684 59941415368 119882830736 239765661472 479531322944 959062645888 1918125291776 3836250583552