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238136039856 = 243311131272239
BaseRepresentation
bin1101110111001000000…
…0111001100110110000
3211202200002222020101000
43131302000321212300
512400200311233411
6301222001442000
723130142640451
oct3356200714660
9752602866330
10238136039856
1191aa164a410
123a19b340300
13195c1179030
14b750cc7128
1562db4bb956
hex37720399b0

238136039856 has 480 divisors, whose sum is σ = 812797977600. Its totient is φ = 65810465280.

The previous prime is 238136039851. The next prime is 238136039857. The reversal of 238136039856 is 658930631832.

It is a happy number.

238136039856 is a `hidden beast` number, since 23 + 8 + 1 + 3 + 603 + 9 + 8 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (238136039851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996384985 + ... + 996385223.

It is an arithmetic number, because the mean of its divisors is an integer number (1693329120).

Almost surely, 2238136039856 is an apocalyptic number.

238136039856 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 238136039856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406398988800).

238136039856 is an abundant number, since it is smaller than the sum of its proper divisors (574661937744).

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

238136039856 is a wasteful number, since it uses less digits than its factorization.

238136039856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 238136039856 in words is "two hundred thirty-eight billion, one hundred thirty-six million, thirty-nine thousand, eight hundred fifty-six".