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1820196864 = 217321543
BaseRepresentation
bin110110001111110…
…0000000000000000
311200212000120200200
41230133200000000
512211432244424
6500341045200
763051263253
oct15437400000
94625016620
101820196864
118544a9932
124296b6800
13230141c85
14133a5309a
15a9be78c9
hex6c7e0000

1820196864 has 108 divisors (see below), whose sum is σ = 5261734296. Its totient is φ = 606339072.

The previous prime is 1820196857. The next prime is 1820196887. The reversal of 1820196864 is 4686910281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1178877 + ... + 1180419.

It is an arithmetic number, because the mean of its divisors is an integer number (48719762).

Almost surely, 21820196864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630867148).

1820196864 is an abundant number, since it is smaller than the sum of its proper divisors (3441537432).

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

1820196864 is an frugal number, since it uses more digits than its factorization.

1820196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1820196864 is about 42663.7652346813. The cubic root of 1820196864 is about 1220.9731695875.

The spelling of 1820196864 in words is "one billion, eight hundred twenty million, one hundred ninety-six thousand, eight 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 1543 2048 2304 3072 3086 4096 4608 4629 6144 6172 8192 9216 9258 12288 12344 13887 16384 18432 18516 24576 24688 27774 32768 36864 37032 49152 49376 55548 65536 73728 74064 98304 98752 111096 131072 147456 148128 196608 197504 222192 294912 296256 393216 395008 444384 589824 592512 790016 888768 1179648 1185024 1580032 1777536 2370048 3160064 3555072 4740096 6320128 7110144 9480192 12640256 14220288 18960384 25280512 28440576 37920768 50561024 56881152 75841536 101122048 113762304 151683072 202244096 227524608 303366144 455049216 606732288 910098432 1820196864