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385069095720 = 233352945726903
BaseRepresentation
bin1011001101001111110…
…10000001101100101000
31100210221010102211211000
411212213322001230220
522302110142030340
6452522011035000
736551241210561
oct5464772015450
91323833384730
10385069095720
11139341513a91
1262766a3ba60
132a40920533a
14148cd207168
15a03abd1d30
hex59a7e81b28

385069095720 has 256 divisors, whose sum is σ = 1330779456000. Its totient is φ = 98923603968.

The previous prime is 385069095647. The next prime is 385069095721. The reversal of 385069095720 is 27590960583.

385069095720 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 69 + 0 + 9 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (385069095721) 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 63 ways as a sum of consecutive naturals, for example, 14299789 + ... + 14326691.

It is an arithmetic number, because the mean of its divisors is an integer number (5198357250).

Almost surely, 2385069095720 is an apocalyptic number.

385069095720 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 385069095720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665389728000).

385069095720 is an abundant number, since it is smaller than the sum of its proper divisors (945710360280).

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

385069095720 is a wasteful number, since it uses less digits than its factorization.

385069095720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27409 (or 27399 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 385069095720 in words is "three hundred eighty-five billion, sixty-nine million, ninety-five thousand, seven hundred twenty".