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385038462060 = 22355750322501
BaseRepresentation
bin1011001101001100001…
…01001010110001101100
31100210211222210111100000
411212212011022301230
522302024321241220
6452514554304300
736550416632610
oct5464605126154
91323758714300
10385038462060
111393261a050a
1262758728090
132a402a6ab05
14148c9111340
15a038180390
hex59a614ac6c

385038462060 has 288 divisors, whose sum is σ = 1387050642432. Its totient is φ = 87829920000.

The previous prime is 385038462037. The next prime is 385038462071. The reversal of 385038462060 is 60264830583.

It is a happy number.

385038462060 is a `hidden beast` number, since 3 + 8 + 503 + 84 + 6 + 2 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 385038461997 and 385038462015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17100810 + ... + 17123310.

It is an arithmetic number, because the mean of its divisors is an integer number (4816148064).

Almost surely, 2385038462060 is an apocalyptic number.

385038462060 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 385038462060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693525321216).

385038462060 is an abundant number, since it is smaller than the sum of its proper divisors (1002012180372).

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

385038462060 is a wasteful number, since it uses less digits than its factorization.

385038462060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23035 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 385038462060 in words is "three hundred eighty-five billion, thirty-eight million, four hundred sixty-two thousand, sixty".