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385070833889280 = 21233572113171587
BaseRepresentation
bin101011110001110000100101…
…0010001000111000000000000
31212111102102010111101010211000
41113203201022101013000000
5400433000031433424110
63442551033213252000
7144052310143523400
oct12743411221070000
91774372114333730
10385070833889280
11101771694a55590
1237231383194000
13136b3040462b36
146b13756416800
152e7b8993e81c0
hex15e384a447000

385070833889280 has 4992 divisors, whose sum is σ = 1821646359429120. Its totient is φ = 76212928512000.

The previous prime is 385070833889207. The next prime is 385070833889303. The reversal of 385070833889280 is 82988338070583.

385070833889280 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 7 + 0 + 8 + 338 + 8 + 9 + 280 = 666.

It is a super-2 number, since 2×3850708338892802 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 385070833889199 and 385070833889208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 655998013147 + ... + 655998013733.

Almost surely, 2385070833889280 is an apocalyptic number.

385070833889280 is a gapful number since it is divisible by the number (30) 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 385070833889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910823179714560).

385070833889280 is an abundant number, since it is smaller than the sum of its proper divisors (1436575525539840).

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

385070833889280 is a wasteful number, since it uses less digits than its factorization.

385070833889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 385070833889280 in words is "three hundred eighty-five trillion, seventy billion, eight hundred thirty-three million, eight hundred eighty-nine thousand, two hundred eighty".