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238380117360 = 243571179269607
BaseRepresentation
bin1101111000000010001…
…1111110110101110000
3211210022010020122202120
43132000203332311300
512401200302223420
6301302121114240
723136165364620
oct3360043766560
9753263218676
10238380117360
11921073a8460
123a249028980
131962c8c6aa8
14b7754a0880
156302b30d40
hex37808fed70

238380117360 has 640 divisors, whose sum is σ = 937997107200. Its totient is φ = 48644444160.

The previous prime is 238380117343. The next prime is 238380117361. The reversal of 238380117360 is 63711083832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238380117361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392718177 + ... + 392718783.

It is an arithmetic number, because the mean of its divisors is an integer number (1465620480).

Almost surely, 2238380117360 is an apocalyptic number.

238380117360 is a gapful number since it is divisible by the number (20) 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 238380117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468998553600).

238380117360 is an abundant number, since it is smaller than the sum of its proper divisors (699616989840).

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

238380117360 is a wasteful number, since it uses less digits than its factorization.

238380117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 238380117360 in words is "two hundred thirty-eight billion, three hundred eighty million, one hundred seventeen thousand, three hundred sixty".