Search a number
-
+
638085808580836 = 2271132534957128477
BaseRepresentation
bin1001000100010101011110110…
…1111101001110100011100100
310002200021102000002221220000011
42101011113231331032203210
51132113344213444041321
610141032323531300004
7251255115113610340
oct22105275575164344
93080242002856004
10638085808580836
1117534a743099040
125b69537a2aa604
132150730619c1c5
14b37d737254620
154db8122301ae1
hex24455edf4e8e4

638085808580836 has 96 divisors (see below), whose sum is σ = 1392906969683712. Its totient is φ = 248476366333440.

The previous prime is 638085808580783. The next prime is 638085808580839.

638085808580836 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6380858085808362 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (638085808580839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966473030 + ... + 4966601506.

It is an arithmetic number, because the mean of its divisors is an integer number (14509447600872).

Almost surely, 2638085808580836 is an apocalyptic number.

It is an amenable number.

638085808580836 is an abundant number, since it is smaller than the sum of its proper divisors (754821161102876).

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

638085808580836 is a wasteful number, since it uses less digits than its factorization.

638085808580836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136709 (or 136707 counting only the distinct ones).

The product of its (nonzero) digits is 2123366400, while the sum is 76.

The spelling of 638085808580836 in words is "six hundred thirty-eight trillion, eighty-five billion, eight hundred eight million, five hundred eighty thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 3253 4957 6506 9914 13012 19828 22771 34699 35783 45542 54527 69398 71566 91084 109054 128477 138796 143132 218108 250481 256954 381689 500962 513908 763378 899339 1001924 1413247 1526756 1798678 2826494 3597356 5652988 9892729 16125121 19785458 32250242 39570916 64500484 112875847 177376331 225751694 354752662 417935681 451503388 636860489 709505324 835871362 1241634317 1273720978 1671742724 2483268634 2547441956 2925549767 4458023423 4597292491 4966537268 5851099534 7005465379 8916046846 9194584982 11702199068 14010930758 17832093692 18389169964 28021861516 32181047437 49038257653 64362094874 98076515306 128724189748 196153030612 2071707170717 4143414341434 8286828682868 14501950195019 22788778877887 29003900390038 45577557755774 58007800780076 91155115511548 159521452145209 319042904290418 638085808580836