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238401376752 = 243711231435383
BaseRepresentation
bin1101111000000111010…
…1000101000111110000
3211210100121020202011110
43132001311011013300
512401221223024002
6301304200513320
723136544160430
oct3360165050760
9753317222143
10238401376752
11921183a8a00
123a25417b840
131963412b506
14b7782362c0
15630492ee6c
hex3781d451f0

238401376752 has 960 divisors, whose sum is σ = 842634067968. Its totient is φ = 56735078400.

The previous prime is 238401376693. The next prime is 238401376753. The reversal of 238401376752 is 257673104832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238401376753) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2872305703 + ... + 2872305785.

Almost surely, 2238401376752 is an apocalyptic number.

238401376752 is a gapful number since it is divisible by the number (22) 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 238401376752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421317033984).

238401376752 is an abundant number, since it is smaller than the sum of its proper divisors (604232691216).

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

238401376752 is a wasteful number, since it uses less digits than its factorization.

238401376752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 238401376752 in words is "two hundred thirty-eight billion, four hundred one million, three hundred seventy-six thousand, seven hundred fifty-two".