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61016041435050 = 232521310430092553
BaseRepresentation
bin11011101111110011001110…
…11110011010111110101010
322000001002001211121021110100
431313321213132122332222
530444141323101410200
6333434214340330230
715565156246560612
oct1567714736327652
9260032054537410
1061016041435050
1118494837783639
126a153989a3976
132807a3237a020
14110d299419a42
1570c279796d00
hex377e6779afaa

61016041435050 has 72 divisors (see below), whose sum is σ = 176539746569004. Its totient is φ = 15019333274880.

The previous prime is 61016041435021. The next prime is 61016041435081. The reversal of 61016041435050 is 5053414061016.

61016041435050 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 6 + 0 + 4 + 143 + 505 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7452130159881 + 53563911275169 = 2729859^2 + 7318737^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61016041434996 and 61016041435014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5215040427 + ... + 5215052126.

Almost surely, 261016041435050 is an apocalyptic number.

61016041435050 is an abundant number, since it is smaller than the sum of its proper divisors (115523705133954).

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

61016041435050 is a wasteful number, since it uses less digits than its factorization.

61016041435050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430092584 (or 10430092576 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 61016041435050 its reverse (5053414061016), we get a palindrome (66069455496066).

The spelling of 61016041435050 in words is "sixty-one trillion, sixteen billion, forty-one million, four hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 10430092553 20860185106 31290277659 52150462765 62580555318 93870832977 104300925530 135591203189 156451388295 187741665954 260752313825 271182406378 312902776590 406773609567 469354164885 521504627650 677956015945 782256941475 813547219134 938708329770 1220320828701 1355912031890 1564513882950 2033868047835 2346770824425 2440641657402 3389780079725 4067736095670 4693541648850 6101604143505 6779560159450 10169340239175 12203208287010 20338680478350 30508020717525 61016041435050