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61141827816976 = 24197299232
BaseRepresentation
bin11011110011011101100001…
…11011011000111000010000
322000111002202002212112201111
431321232300323120320100
531003221430410120401
6334012100135143104
715610231330305304
oct1571566073307020
9260432662775644
1061141827816976
1118533115925085
126a35842514a94
13281685a2b850a
1411153cd045d04
1571068c73ae51
hex379bb0ed8e10

61141827816976 has 45 divisors (see below), whose sum is σ = 119078675537101. Its totient is φ = 30412666429376.

The previous prime is 61141827816959. The next prime is 61141827816997. The reversal of 61141827816976 is 67961872814116.

The square root of 61141827816976 is 7819324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59906671203600 + 1235156613376 = 7739940^2 + 1111376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6161622351 + ... + 6161632273.

Almost surely, 261141827816976 is an apocalyptic number.

61141827816976 is the 7819324-th square number.

It is an amenable number.

61141827816976 is a deficient number, since it is larger than the sum of its proper divisors (57936847720125).

61141827816976 is an frugal number, since it uses more digits than its factorization.

61141827816976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 10122 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 67.

The spelling of 61141827816976 in words is "sixty-one trillion, one hundred forty-one billion, eight hundred twenty-seven million, eight hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 197 394 788 1576 3152 9923 19846 38809 39692 77618 79384 155236 158768 310472 620944 1954831 3909662 7819324 15638648 31277296 98465929 196931858 385101707 393863716 770203414 787727432 1540406828 1575454864 3080813656 6161627312 19397788013 38795576026 77591152052 155182304104 310364608208 3821364238561 7642728477122 15285456954244 30570913908488 61141827816976