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930185020521 = 32172189112
BaseRepresentation
bin11011000100100110101…
…10010000010001101001
310021220222012020000001100
431202103112100101221
5110220004331124041
61551153205112013
7124126565134551
oct15422326202151
93256865200040
10930185020521
11329542215549
121303390b8609
13699402922b3
1433042234161
15192e25016b6
hexd893590469

930185020521 has 27 divisors (see below), whose sum is σ = 1427360528503. Its totient is φ = 583614640320.

The previous prime is 930185020511. The next prime is 930185020529. The reversal of 930185020521 is 125020581039.

The square root of 930185020521 is 964461.

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

930185020521 is a `hidden beast` number, since 9 + 30 + 1 + 85 + 0 + 20 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 724192490025 + 205992530496 = 850995^2 + 453864^2 .

It is not a de Polignac number, because 930185020521 - 27 = 930185020393 is a prime.

It is a super-2 number, since 2×9301850205212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (930185020529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49178056 + ... + 49196966.

Almost surely, 2930185020521 is an apocalyptic number.

930185020521 is the 964461-st square number.

930185020521 is the 482231-st centered octagonal number.

It is an amenable number.

930185020521 is a deficient number, since it is larger than the sum of its proper divisors (497175507982).

930185020521 is an frugal number, since it uses more digits than its factorization.

930185020521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37862 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 930185020521 by its sum of digits (36), we get a square (33486660738756 = 57867662).

The spelling of 930185020521 in words is "nine hundred thirty billion, one hundred eighty-five million, twenty thousand, five hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 18911 56733 170199 321487 964461 2893383 5465279 16395837 49187511 357625921 1072877763 3218633289 6079640657 18238921971 54716765913 103353891169 310061673507 930185020521