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61808423769 = 3279210492
BaseRepresentation
bin111001100100000100…
…011011001101011001
312220112112110020210100
4321210010123031121
52003040424030034
644221105010013
74315445635131
oct714404331531
9186475406710
1061808423769
1124238275664
12bb8b623909
135aa0309521
142dc4b1dac1
15191b3c2099
hexe6411b359

61808423769 has 27 divisors (see below), whose sum is σ = 90509533023. Its totient is φ = 40645242144.

The previous prime is 61808423759. The next prime is 61808423837. The reversal of 61808423769 is 96732480816.

The square root of 61808423769 is 248613.

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., 56056718169 + 5751705600 = 236763^2 + 75840^2 .

It is not a de Polignac number, because 61808423769 - 223 = 61800035161 is a prime.

It is a super-2 number, since 2×618084237692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61808423759) 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 26 ways as a sum of consecutive naturals, for example, 58920757 + ... + 58921805.

Almost surely, 261808423769 is an apocalyptic number.

61808423769 is the 248613-rd square number.

61808423769 is the 124307-th centered octagonal number.

It is an amenable number.

61808423769 is a deficient number, since it is larger than the sum of its proper divisors (28701109254).

61808423769 is an frugal number, since it uses more digits than its factorization.

61808423769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 61808423769 in words is "sixty-one billion, eight hundred eight million, four hundred twenty-three thousand, seven hundred sixty-nine".

Divisors: 1 3 9 79 237 711 1049 3147 6241 9441 18723 56169 82871 248613 745839 1100401 3301203 6546809 9903609 19640427 58921281 86931679 260795037 782385111 6867602641 20602807923 61808423769