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19327352832 = 23132
BaseRepresentation
bin10010000000000000…
…000000000000000000
31211212221211020210200
4102000000000000000
5304040300242312
612513500125200
71252643534304
oct220000000000
954787736720
1019327352832
118218872277
1238b4836800
131a90224668
14d14c2bd04
15781b9d0dc
hex480000000

19327352832 has 96 divisors (see below), whose sum is σ = 55834574835. Its totient is φ = 6442450944.

The previous prime is 19327352797. The next prime is 19327352861. The reversal of 19327352832 is 23825372391.

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.

It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)25.

19327352832 is a `hidden beast` number, since 1 + 93 + 2 + 7 + 3 + 528 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9663676416 + 9663676416 = 98304^2 + 98304^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=98304.

Its product of digits (544320) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6442450943 + 6442450944 + 6442450945.

Almost surely, 219327352832 is an apocalyptic number.

19327352832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19327352832

19327352832 is an abundant number, since it is smaller than the sum of its proper divisors (36507222003).

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

19327352832 is an frugal number, since it uses more digits than its factorization.

19327352832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 5 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 19327352832 in words is "nineteen billion, three hundred twenty-seven million, three hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 98304 131072 147456 196608 262144 294912 393216 524288 589824 786432 1048576 1179648 1572864 2097152 2359296 3145728 4194304 4718592 6291456 8388608 9437184 12582912 16777216 18874368 25165824 33554432 37748736 50331648 67108864 75497472 100663296 134217728 150994944 201326592 268435456 301989888 402653184 536870912 603979776 805306368 1073741824 1207959552 1610612736 2147483648 2415919104 3221225472 4831838208 6442450944 9663676416 19327352832