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18694949152 = 251133711863
BaseRepresentation
bin10001011010010011…
…100100100100100000
31210020212211211001011
4101122103210210200
5301241401333102
612331025350304
71231164305635
oct213223444440
953225754034
1018694949152
117a238a2000
123758a98394
1319bc1c19b9
14c94c4c18c
157463ce2d7
hex45a4e4920

18694949152 has 96 divisors (see below), whose sum is σ = 41581137024. Its totient is φ = 8267339520.

The previous prime is 18694949149. The next prime is 18694949159. The reversal of 18694949152 is 25194949681.

It is a super-2 number, since 2×186949491522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18694949159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569973 + ... + 1581835.

It is an arithmetic number, because the mean of its divisors is an integer number (433136844).

Almost surely, 218694949152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18694949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790568512).

18694949152 is an abundant number, since it is smaller than the sum of its proper divisors (22886187872).

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

18694949152 is a wasteful number, since it uses less digits than its factorization.

18694949152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11913 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 58.

The spelling of 18694949152 in words is "eighteen billion, six hundred ninety-four million, nine hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 121 148 176 242 296 352 407 484 592 814 968 1184 1331 1628 1936 2662 3256 3872 4477 5324 6512 8954 10648 11863 13024 17908 21296 23726 35816 42592 47452 49247 71632 94904 98494 130493 143264 189808 196988 260986 379616 393976 438931 521972 787952 877862 1043944 1435423 1575904 1755724 2087888 2870846 3511448 4175776 4828241 5741692 7022896 9656482 11483384 14045792 15789653 19312964 22966768 31579306 38625928 45933536 53110651 63158612 77251856 106221302 126317224 154503712 212442604 252634448 424885208 505268896 584217161 849770416 1168434322 1699540832 2336868644 4673737288 9347474576 18694949152