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11984769973 = 11171931233467
BaseRepresentation
bin10110010100101100…
…10001001110110101
31010221020110101200101
423022112101032311
5144021100114343
65301123114101
7602664602221
oct131226211665
933836411611
1011984769973
1150a00aa080
1223a5812931
13118cc61587
148199b5781
154a2262e4d
hex2ca5913b5

11984769973 has 64 divisors (see below), whose sum is σ = 15138938880. Its totient is φ = 9340876800.

The previous prime is 11984769961. The next prime is 11984769997. The reversal of 11984769973 is 37996748911.

11984769973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11984769973 is a prime.

It is a super-2 number, since 2×119847699732 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11984769473) 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 63 ways as a sum of consecutive naturals, for example, 25663086 + ... + 25663552.

It is an arithmetic number, because the mean of its divisors is an integer number (236545920).

Almost surely, 211984769973 is an apocalyptic number.

It is an amenable number.

11984769973 is a deficient number, since it is larger than the sum of its proper divisors (3154168907).

11984769973 is a wasteful number, since it uses less digits than its factorization.

11984769973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its digits is 20575296, while the sum is 64.

The spelling of 11984769973 in words is "eleven billion, nine hundred eighty-four million, seven hundred sixty-nine thousand, nine hundred seventy-three".

Divisors: 1 11 17 19 31 187 209 233 323 341 467 527 589 2563 3553 3961 4427 5137 5797 6479 7223 7939 8873 10013 14477 43571 48697 75259 79453 87329 97603 108811 110143 122791 137237 150841 159247 246109 275063 827849 1196921 1350701 1509607 1659251 1849787 2067409 2333029 2707199 3025693 3373141 4676071 20347657 22741499 25663319 35145953 37104551 51436781 57343397 64089679 386605483 630777367 704986469 1089524543 11984769973