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238475372494464 = 2732754319544429
BaseRepresentation
bin110110001110010001011111…
…110111010111111010000000
31011021101000121201221000200200
4312032101133313113322000
5222224140030324310324
62203110023531045200
7101142164020404150
oct6616213767277200
91137330551830620
10238475372494464
1169a92923807676
12228b615b8a0800
13a30b192137661
1442c63abb70760
151c884597bcec9
hexd8e45fdd7e80

238475372494464 has 192 divisors, whose sum is σ = 784287565152000. Its totient is φ = 68134441199616.

The previous prime is 238475372494459. The next prime is 238475372494481. The reversal of 238475372494464 is 464494273574832.

238475372494464 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 7 + 5 + 3 + 72 + 4 + 94 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 238475372494392 and 238475372494401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437756202 + ... + 438300630.

It is an arithmetic number, because the mean of its divisors is an integer number (4084831068500).

Almost surely, 2238475372494464 is an apocalyptic number.

238475372494464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238475372494464 is an abundant number, since it is smaller than the sum of its proper divisors (545812192657536).

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

238475372494464 is a wasteful number, since it uses less digits than its factorization.

238475372494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598775 (or 598760 counting only the distinct ones).

The product of its digits is 3901685760, while the sum is 72.

The spelling of 238475372494464 in words is "two hundred thirty-eight trillion, four hundred seventy-five billion, three hundred seventy-two million, four hundred ninety-four thousand, four hundred sixty-four".