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30531271824 = 2432145612
BaseRepresentation
bin11100011011110011…
…100011110010010000
32220210202222022022100
4130123303203302100
51000012001144244
622005331040400
72130410346204
oct343363436220
986722868270
1030531271824
1111a4811a459
125b00a40100
132b57479021
141698c20b04
15bda5bcb69
hex71bce3c90

30531271824 has 45 divisors (see below), whose sum is σ = 85451025049. Its totient is φ = 10176391680.

The previous prime is 30531271819. The next prime is 30531271843. The reversal of 30531271824 is 42817213503.

The square root of 30531271824 is 174732.

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

30531271824 is a `hidden beast` number, since 30 + 531 + 2 + 71 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27268577424 + 3262694400 = 165132^2 + 57120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2089504 + ... + 2104064.

Almost surely, 230531271824 is an apocalyptic number.

30531271824 is the 174732-nd square number.

It is an amenable number.

30531271824 is an abundant number, since it is smaller than the sum of its proper divisors (54919753225).

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

30531271824 is an frugal number, since it uses more digits than its factorization.

30531271824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29136 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 30531271824 by its sum of digits (36), we get a square (1099125785664 = 10483922).

30531271824 divided by its sum of digits (36) gives a square (848090884 = 291222).

The spelling of 30531271824 in words is "thirty billion, five hundred thirty-one million, two hundred seventy-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14561 29122 43683 58244 87366 116488 131049 174732 232976 262098 349464 524196 698928 1048392 2096784 212022721 424045442 636068163 848090884 1272136326 1696181768 1908204489 2544272652 3392363536 3816408978 5088545304 7632817956 10177090608 15265635912 30531271824