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85560349923 = 3341213732
BaseRepresentation
bin100111110101111001…
…0110101010011100011
322011211211220010011000
41033223302311103203
52400211422144143
6103150023123043
76116156655216
oct1175362652343
9264754803130
1085560349923
11333166502a4
12146b9ba3483
1380b70b8ab9
1441d942177d
15235b70ebd3
hex13ebcb54e3

85560349923 has 36 divisors (see below), whose sum is σ = 130017786760. Its totient is φ = 55608477120.

The previous prime is 85560349913. The next prime is 85560349933. The reversal of 85560349923 is 32994306558.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85560349923 is a `hidden beast` number, since 8 + 5 + 5 + 603 + 4 + 9 + 9 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (85560349913) and next prime (85560349933).

It is not a de Polignac number, because 85560349923 - 26 = 85560349859 is a prime.

It is a super-3 number, since 3×855603499233 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 85560349923.

It is not an unprimeable number, because it can be changed into a prime (85560349913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62315665 + ... + 62317037.

Almost surely, 285560349923 is an apocalyptic number.

85560349923 is a deficient number, since it is larger than the sum of its proper divisors (44457436837).

85560349923 is an frugal number, since it uses more digits than its factorization.

85560349923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 85560349923 in words is "eighty-five billion, five hundred sixty million, three hundred forty-nine thousand, nine hundred twenty-three".

Divisors: 1 3 9 27 41 123 369 1107 1373 1681 4119 5043 12357 15129 37071 45387 56293 168879 506637 1519911 1885129 2308013 5655387 6924039 16966161 20772117 50898483 62316351 77290289 231870867 695612601 2086837803 3168901849 9506705547 28520116641 85560349923