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238852841472 = 21335761281
BaseRepresentation
bin1101111001110010111…
…1010010000000000000
3211211112001202112100000
43132130233102000000
512403132311411342
6301421045200000
723153665440210
oct3363457220000
9754461675300
10238852841472
119232a225043
123a35b400000
13196a681babb
14b7bc196240
15632e3ac44c
hex379cbd2000

238852841472 has 672 divisors, whose sum is σ = 834114363264. Its totient is φ = 66886041600.

The previous prime is 238852841459. The next prime is 238852841569. The reversal of 238852841472 is 274148258832.

It is a happy number.

238852841472 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 528 + 41 + 4 + 72 = 666.

238852841472 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850009972 + ... + 850010252.

It is an arithmetic number, because the mean of its divisors is an integer number (1241241612).

Almost surely, 2238852841472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238852841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417057181632).

238852841472 is an abundant number, since it is smaller than the sum of its proper divisors (595261521792).

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

238852841472 is an frugal number, since it uses more digits than its factorization.

238852841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 354 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 238852841472 in words is "two hundred thirty-eight billion, eight hundred fifty-two million, eight hundred forty-one thousand, four hundred seventy-two".