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23364153344241 = 322596017038249
BaseRepresentation
bin1010100111111111001000…
…00011111000000011110001
310001201120222000111100210200
411103333210003320003301
511030244241224003431
6121405202135345413
74631001333441363
oct523774403700361
9101646860440720
1023364153344241
117498755508076
122754167822269
1310062cb9c1258
145aab8c5b8d33
152a7b4de51ee6
hex153fe40f80f1

23364153344241 has 6 divisors (see below), whose sum is σ = 33748221497250. Its totient is φ = 15576102229488.

The previous prime is 23364153344239. The next prime is 23364153344243. The reversal of 23364153344241 is 14244335146332.

23364153344241 is a `hidden beast` number, since 2 + 3 + 3 + 64 + 1 + 5 + 3 + 344 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (23364153344239) and next prime (23364153344243).

It can be written as a sum of positive squares in only one way, i.e., 23254856984241 + 109296360000 = 4822329^2 + 330600^2 .

It is not a de Polignac number, because 23364153344241 - 21 = 23364153344239 is a prime.

It is a super-2 number, since 2×233641533442412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23364153344243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1298008519116 + ... + 1298008519133.

It is an arithmetic number, because the mean of its divisors is an integer number (5624703582875).

Almost surely, 223364153344241 is an apocalyptic number.

It is an amenable number.

23364153344241 is a deficient number, since it is larger than the sum of its proper divisors (10384068153009).

23364153344241 is a wasteful number, since it uses less digits than its factorization.

23364153344241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596017038255 (or 2596017038252 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 23364153344241 in words is "twenty-three trillion, three hundred sixty-four billion, one hundred fifty-three million, three hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 2596017038249 7788051114747 23364153344241