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385241917788 = 2232713377940231
BaseRepresentation
bin1011001101100100011…
…01010010100101011100
31100211101011122010010100
411212302031102211130
522302433412332123
6452551103141100
736555440162160
oct5466215224534
91324334563110
10385241917788
11139420023842
12627b48a4790
132a435c65010
1414908152ca0
15a04ae6d643
hex59b235295c

385241917788 has 288 divisors, whose sum is σ = 1246535413760. Its totient is φ = 97602485760.

The previous prime is 385241917763. The next prime is 385241917807. The reversal of 385241917788 is 887719142583.

385241917788 is a `hidden beast` number, since 3 + 8 + 524 + 19 + 17 + 7 + 88 = 666.

It is a super-2 number, since 2×3852419177882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9555633 + ... + 9595863.

Almost surely, 2385241917788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385241917788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623267706880).

385241917788 is an abundant number, since it is smaller than the sum of its proper divisors (861293495972).

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

385241917788 is a wasteful number, since it uses less digits than its factorization.

385241917788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40377 (or 40372 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 385241917788 in words is "three hundred eighty-five billion, two hundred forty-one million, nine hundred seventeen thousand, seven hundred eighty-eight".