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385268603801 = 2972531831673
BaseRepresentation
bin1011001101100111100…
…11000101101110011001
31100211110000211220110012
411212303303011232121
522303012230310201
6452553455131305
736556213046024
oct5466363055631
91324400756405
10385268603801
111394340a03a4
1262801813b35
132a43b649763
141490b8dc1bb
15a04d4905bb
hex59b3cc5b99

385268603801 has 8 divisors (see below), whose sum is σ = 398608895880. Its totient is φ = 371931989632.

The previous prime is 385268603771. The next prime is 385268603831. The reversal of 385268603801 is 108306862583.

It is an interprime number because it is at equal distance from previous prime (385268603771) and next prime (385268603831).

It can be written as a sum of positive squares in 4 ways, for example, as 128057338201 + 257211265600 = 357851^2 + 507160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 385268603801 - 26 = 385268603737 is a prime.

It is a super-3 number, since 3×3852686038013 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 385268603801.

It is not an unprimeable number, because it can be changed into a prime (385268603831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705500 + ... + 1126173.

It is an arithmetic number, because the mean of its divisors is an integer number (49826111985).

Almost surely, 2385268603801 is an apocalyptic number.

It is an amenable number.

385268603801 is a deficient number, since it is larger than the sum of its proper divisors (13340292079).

385268603801 is a wasteful number, since it uses less digits than its factorization.

385268603801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838955.

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 385268603801 in words is "three hundred eighty-five billion, two hundred sixty-eight million, six hundred three thousand, eight hundred one".

Divisors: 1 29 7253 210337 1831673 53118517 13285124269 385268603801