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661913226 = 2321329103947
BaseRepresentation
bin100111011100111…
…111111010001010
31201010111200020200
4213130333322022
52323422210401
6145403033030
722255112112
oct4734777212
91633450220
10661913226
1130a6a6227
1216580b776
13a7195640
1463ca2042
153d19c686
hex2773fe8a

661913226 has 96 divisors (see below), whose sum is σ = 1614936960. Its totient is φ = 194527872.

The previous prime is 661913201. The next prime is 661913227. The reversal of 661913226 is 622319166.

It is a happy number.

661913226 is a `hidden beast` number, since 6 + 619 + 1 + 32 + 2 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (661913227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698485 + ... + 699431.

It is an arithmetic number, because the mean of its divisors is an integer number (16822260).

Almost surely, 2661913226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661913226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807468480).

661913226 is an abundant number, since it is smaller than the sum of its proper divisors (953023734).

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

661913226 is a wasteful number, since it uses less digits than its factorization.

661913226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1097 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 661913226 is about 25727.6743216327. The cubic root of 661913226 is about 871.4992539614.

The spelling of 661913226 in words is "six hundred sixty-one million, nine hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 103 117 174 206 234 261 309 377 522 618 754 927 947 1131 1339 1854 1894 2262 2678 2841 2987 3393 4017 5682 5974 6786 8034 8523 8961 12051 12311 17046 17922 24102 24622 26883 27463 36933 38831 53766 54926 73866 77662 82389 97541 110799 116493 164778 195082 221598 232986 247167 292623 349479 357019 494334 585246 698958 714038 877869 1071057 1268033 1755738 2142114 2536066 2828689 3213171 3804099 5657378 6426342 7608198 8486067 11412297 16972134 22824594 25458201 36772957 50916402 73545914 110318871 220637742 330956613 661913226