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238520033412672 = 263111929511340087
BaseRepresentation
bin110110001110111011000101…
…110111010000011001000000
31011021112021220020022201222110
4312032323011313100121000
5222230403012023201142
62203142331325335320
7101145334532060604
oct6616730567203100
91137467806281873
10238520033412672
1169aaa861725530
1222902944707540
13a31245ba1608b
1442c8607375504
151c896c057c99c
hexd8eec5dd0640

238520033412672 has 448 divisors, whose sum is σ = 749844693043200. Its totient is φ = 66098876497920.

The previous prime is 238520033412671. The next prime is 238520033412697. The reversal of 238520033412672 is 276214330025832.

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

It is not an unprimeable number, because it can be changed into a prime (238520033412671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5950039413 + ... + 5950079499.

Almost surely, 2238520033412672 is an apocalyptic number.

238520033412672 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 238520033412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374922346521600).

238520033412672 is an abundant number, since it is smaller than the sum of its proper divisors (511324659630528).

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

238520033412672 is a wasteful number, since it uses less digits than its factorization.

238520033412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45274 (or 45264 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 238520033412672 in words is "two hundred thirty-eight trillion, five hundred twenty billion, thirty-three million, four hundred twelve thousand, six hundred seventy-two".