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389326889952 = 253271113361131
BaseRepresentation
bin1011010101001011011…
…00001110001111100000
31101012220212020012110200
411222211230032033200
522334320140434302
6454504310225200
740061611651050
oct5524554161740
91335825205420
10389326889952
111401269748a0
1263554955200
132a937368000
1414bb48a5560
15a1d98ca81c
hex5aa5b0e3e0

389326889952 has 1152 divisors, whose sum is σ = 1531431982080. Its totient is φ = 91113984000.

The previous prime is 389326889947. The next prime is 389326889953. The reversal of 389326889952 is 259988623983.

389326889952 is a `hidden beast` number, since 389 + 32 + 6 + 88 + 99 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389326889953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2971960927 + ... + 2971961057.

It is an arithmetic number, because the mean of its divisors is an integer number (1329368040).

Almost surely, 2389326889952 is an apocalyptic number.

389326889952 is a gapful number since it is divisible by the number (32) 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 389326889952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765715991040).

389326889952 is an abundant number, since it is smaller than the sum of its proper divisors (1142105092128).

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

389326889952 is a wasteful number, since it uses less digits than its factorization.

389326889952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 389326889952 in words is "three hundred eighty-nine billion, three hundred twenty-six million, eight hundred eighty-nine thousand, nine hundred fifty-two".