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924003485001 = 323204172
BaseRepresentation
bin11010111001000101110…
…01100100010101001001
310021100000101120110110100
431130202321210111021
5110114324343010001
61544251545240013
7123520445014242
oct15344271442511
93240011513410
10924003485001
1132695a973403
1212b0b2a93009
136919670577c
1432a1728bcc9
151907e9aa586
hexd722e64549

924003485001 has 9 divisors (see below), whose sum is σ = 1334675865991. Its totient is φ = 616000400832.

The previous prime is 924003484993. The next prime is 924003485017. The reversal of 924003485001 is 100584300429.

The square root of 924003485001 is 961251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32157455625 + 891846029376 = 179325^2 + 944376^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 924003485001 - 23 = 924003484993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (924003485071) 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 8 ways as a sum of consecutive naturals, for example, 2723545 + ... + 3043961.

Almost surely, 2924003485001 is an apocalyptic number.

924003485001 is the 961251-st square number.

924003485001 is the 480626-th centered octagonal number.

It is an amenable number.

924003485001 is a deficient number, since it is larger than the sum of its proper divisors (410672380990).

924003485001 is an frugal number, since it uses more digits than its factorization.

924003485001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640840 (or 320420 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 924003485001 by its sum of digits (36), we get a square (33264125460036 = 57675062).

The spelling of 924003485001 in words is "nine hundred twenty-four billion, three million, four hundred eighty-five thousand, one".

Divisors: 1 3 9 320417 961251 2883753 102667053889 308001161667 924003485001