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61404440416 = 25111065716369
BaseRepresentation
bin111001001011111111…
…010110011101100000
312212111101021202210221
4321023333112131200
52001224014043131
644113034132424
74302442063114
oct711377263540
9185441252727
1061404440416
1124050229a20
12ba98281114
135a37701b17
142d871dd744
1518e5bc3411
hexe4bfd6760

61404440416 has 48 divisors (see below), whose sum is σ = 131900423760. Its totient is φ = 27906785280.

The previous prime is 61404440389. The next prime is 61404440423.

61404440416 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3743080 + ... + 3759448.

It is an arithmetic number, because the mean of its divisors is an integer number (2747925495).

Almost surely, 261404440416 is an apocalyptic number.

It is an amenable number.

61404440416 is an abundant number, since it is smaller than the sum of its proper divisors (70495983344).

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

61404440416 is a wasteful number, since it uses less digits than its factorization.

61404440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27047 (or 27039 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 61404440416 in words is "sixty-one billion, four hundred four million, four hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 10657 16369 21314 32738 42628 65476 85256 117227 130952 170512 180059 234454 261904 341024 360118 468908 523808 720236 937816 1440472 1875632 2880944 3751264 5761888 174444433 348888866 697777732 1395555464 1918888763 2791110928 3837777526 5582221856 7675555052 15351110104 30702220208 61404440416