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11454055125 = 353431913719
BaseRepresentation
bin10101010101011011…
…10000001011010101
31002120020211021202220
422222231300023111
5141424214231000
65132324052553
7553561601502
oct125255601325
932506737686
1011454055125
114948574167
122277b34159
131107014016
147a93064a9
1547087e1a0
hex2aab702d5

11454055125 has 64 divisors (see below), whose sum is σ = 19610173440. Its totient is φ = 5933928000.

The previous prime is 11454055121. The next prime is 11454055141. The reversal of 11454055125 is 52155045411.

It is a happy number.

11454055125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11454055125 - 22 = 11454055121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11454055121) 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, 3078016 + ... + 3081734.

It is an arithmetic number, because the mean of its divisors is an integer number (306408960).

Almost surely, 211454055125 is an apocalyptic number.

11454055125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11454055125 is a deficient number, since it is larger than the sum of its proper divisors (8156118315).

11454055125 is a wasteful number, since it uses less digits than its factorization.

11454055125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 11454055125 in words is "eleven billion, four hundred fifty-four million, fifty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 125 129 191 215 375 573 645 955 1075 2865 3225 3719 4775 5375 8213 11157 14325 16125 18595 23875 24639 41065 55785 71625 92975 123195 159917 205325 278925 464875 479751 615975 710329 799585 1026625 1394625 2130987 2398755 3079875 3551645 3997925 10654935 11993775 17758225 19989625 30544147 53274675 59968875 88791125 91632441 152720735 266373375 458162205 763603675 2290811025 3818018375 11454055125