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416790359961 = 34433083101723
BaseRepresentation
bin1100001000010101010…
…01000010111110011001
31110211210211121000211120
412010022221002332121
523312041313004321
6515245411515453
742053311414533
oct6041251027631
91424724530746
10416790359961
1115083a324348
126893a2b8b89
13303c3080691
141625c0b0853
15ac959aeec6
hex610aa42f99

416790359961 has 16 divisors (see below), whose sum is σ = 557161065216. Its totient is φ = 277140368336.

The previous prime is 416790359957. The next prime is 416790359969. The reversal of 416790359961 is 169953097614.

It is a cyclic number.

It is not a de Polignac number, because 416790359961 - 22 = 416790359957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416790359895 and 416790359904.

It is not an unprimeable number, because it can be changed into a prime (416790359969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4046446 + ... + 4148168.

It is an arithmetic number, because the mean of its divisors is an integer number (34822566576).

Almost surely, 2416790359961 is an apocalyptic number.

It is an amenable number.

416790359961 is a deficient number, since it is larger than the sum of its proper divisors (140370705255).

416790359961 is a wasteful number, since it uses less digits than its factorization.

416790359961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105252.

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 416790359961 in words is "four hundred sixteen billion, seven hundred ninety million, three hundred fifty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 443 1329 3083 9249 101723 305169 1365769 4097307 45063289 135189867 313612009 940836027 138930119987 416790359961