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38654705664 = 23232
BaseRepresentation
bin100100000000000000…
…000000000000000000
310200202220122111121100
4210000000000000000
51113131101040124
625431400254400
72535620401611
oct440000000000
9120686574540
1038654705664
1115436634543
1275a9471400
133850449003
141c29a59c08
15101384b1c9
hex900000000

38654705664 has 99 divisors (see below), whose sum is σ = 111669149683. Its totient is φ = 12884901888.

The previous prime is 38654705641. The next prime is 38654705693. The reversal of 38654705664 is 46650745683.

The square root of 38654705664 is 196608.

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

It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)26.

38654705664 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 4 + 70 + 566 + 4 = 666.

It is a Duffinian number.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38654705664.

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, 12884901887 + 12884901888 + 12884901889.

Almost surely, 238654705664 is an apocalyptic number.

38654705664 is the 196608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38654705664

38654705664 is an abundant number, since it is smaller than the sum of its proper divisors (73014444019).

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

38654705664 is an frugal number, since it uses more digits than its factorization.

38654705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 38654705664 in words is "thirty-eight billion, six hundred fifty-four million, seven hundred five thousand, six hundred sixty-four".

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 4294967296 4831838208 6442450944 9663676416 12884901888 19327352832 38654705664