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214151434646553 = 33372113910140773
BaseRepresentation
bin110000101100010100000100…
…001100001011010000011001
31001002020200021200120010022000
4300230110010030023100121
5211032124114232142203
62035243451054351213
763051634121152425
oct6054240414132031
91032220250503260
10214151434646553
1162265127a3a298
1220027b961bb509
139265516a81961
143ac4db01b3b85
1519b58849a74a3
hexc2c50430b419

214151434646553 has 32 divisors (see below), whose sum is σ = 325851462787200. Its totient is φ = 138902453771328.

The previous prime is 214151434646543. The next prime is 214151434646573. The reversal of 214151434646553 is 355646434151412.

It is a happy number.

214151434646553 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 5 + 1 + 4 + 3 + 46 + 46 + 553 = 666.

It is not a de Polignac number, because 214151434646553 - 25 = 214151434646521 is a prime.

It is a super-2 number, since 2×2141514346465532 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214151434646553.

It is not an unprimeable number, because it can be changed into a prime (214151434646543) 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 31 ways as a sum of consecutive naturals, for example, 16047475 + ... + 26188247.

It is an arithmetic number, because the mean of its divisors is an integer number (10182858212100).

Almost surely, 2214151434646553 is an apocalyptic number.

It is an amenable number.

214151434646553 is a deficient number, since it is larger than the sum of its proper divisors (111700028140647).

214151434646553 is a wasteful number, since it uses less digits than its factorization.

214151434646553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161958 (or 10161952 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

Adding to 214151434646553 its reverse (355646434151412), we get a palindrome (569797868797965).

The spelling of 214151434646553 in words is "two hundred fourteen trillion, one hundred fifty-one billion, four hundred thirty-four million, six hundred forty-six thousand, five hundred fifty-three".

Divisors: 1 3 9 27 37 111 333 999 21139 63417 190251 570753 782143 2346429 7039287 10140773 21117861 30422319 91266957 273800871 375208601 1125625803 3376877409 10130632227 214365800447 643097401341 1929292204023 5787876612069 7931534616539 23794603849617 71383811548851 214151434646553