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61105083968 = 261761920701
BaseRepresentation
bin111000111010001001…
…011001011001000000
312211201111222212222002
4320322021121121000
52000120400141333
644023222003132
74262145433565
oct707211313100
9184644885862
1061105083968
1123a07254aa5
12ba13b764a8
1359ba69ac26
142d5955686c
1518c97900e8
hexe3a259640

61105083968 has 56 divisors (see below), whose sum is σ = 130492935864. Its totient is φ = 28283904000.

The previous prime is 61105083961. The next prime is 61105083983. The reversal of 61105083968 is 86938050116.

It can be written as a sum of positive squares in 4 ways, for example, as 4666529344 + 56438554624 = 68312^2 + 237568^2 .

It is not an unprimeable number, because it can be changed into a prime (61105083961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393983 + ... + 526718.

Almost surely, 261105083968 is an apocalyptic number.

61105083968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61105083968 is an abundant number, since it is smaller than the sum of its proper divisors (69387851896).

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

61105083968 is a wasteful number, since it uses less digits than its factorization.

61105083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920791 (or 920781 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 61105083968 in words is "sixty-one billion, one hundred five million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 488 544 976 1037 1088 1952 2074 3904 4148 8296 16592 33184 66368 920701 1841402 3682804 7365608 14731216 15651917 29462432 31303834 56162761 58924864 62607668 112325522 125215336 224651044 250430672 449302088 500861344 898604176 954766937 1001722688 1797208352 1909533874 3594416704 3819067748 7638135496 15276270992 30552541984 61105083968