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238818429997056 = 2123672132353103
BaseRepresentation
bin110110010011010000111111…
…101011111001000000000000
31011022120211010000010211000000
4312103100333223321000000
5222300300121034401211
62203531401104000000
7101206030220146200
oct6623207753710000
91138524100124000
10238818429997056
116a105366827958
1222950741000000
13a3346345b4340
1442d8c33574400
151c923370b5656
hexd9343faf9000

238818429997056 has 4368 divisors, whose sum is σ = 962937988137216. Its totient is φ = 58535988166656.

The previous prime is 238818429997013. The next prime is 238818429997157. The reversal of 238818429997056 is 650799924818832.

238818429997056 is a `hidden beast` number, since 2 + 3 + 88 + 184 + 299 + 9 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2318625533901 + ... + 2318625534003.

It is an arithmetic number, because the mean of its divisors is an integer number (220452836112).

It is a 1-persistent number, because it is pandigital, but 2⋅238818429997056 = 477636859994112 is not.

Almost surely, 2238818429997056 is an apocalyptic number.

238818429997056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238818429997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481468994068608).

238818429997056 is an abundant number, since it is smaller than the sum of its proper divisors (724119558140160).

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

238818429997056 is a wasteful number, since it uses less digits than its factorization.

238818429997056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 238818429997056 in words is "two hundred thirty-eight trillion, eight hundred eighteen billion, four hundred twenty-nine million, nine hundred ninety-seven thousand, fifty-six".