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6466043904 = 21934111
BaseRepresentation
bin1100000010110100…
…00000000000000000
3121200122000001201120
412001122000000000
5101220301401104
62545341432240
7316143315645
oct60132000000
917618001646
106466043904
112818a05541
12130556b680
137c07c22a8
14454a85dcc
1527c9e4cd9
hex181680000

6466043904 has 80 divisors (see below), whose sum is σ = 17246961600. Its totient is φ = 2154823680.

The previous prime is 6466043893. The next prime is 6466043921. The reversal of 6466043904 is 4093406646.

It is a super-2 number, since 2×64660439042 = 83619447536911122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1570809 + ... + 1574919.

It is an arithmetic number, because the mean of its divisors is an integer number (215587020).

Almost surely, 26466043904 is an apocalyptic number.

6466043904 is a gapful number since it is divisible by the number (64) 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 6466043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623480800).

6466043904 is an abundant number, since it is smaller than the sum of its proper divisors (10780917696).

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

6466043904 is an frugal number, since it uses more digits than its factorization.

6466043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 6466043904 is about 80411.7149674101. The cubic root of 6466043904 is about 1863.0001207225. Note that the first 3 decimals are identical.

The spelling of 6466043904 in words is "six billion, four hundred sixty-six million, forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4111 6144 8192 8222 12288 12333 16384 16444 24576 24666 32768 32888 49152 49332 65536 65776 98304 98664 131072 131552 196608 197328 262144 263104 393216 394656 524288 526208 786432 789312 1052416 1572864 1578624 2104832 3157248 4209664 6314496 8419328 12628992 16838656 25257984 33677312 50515968 67354624 101031936 134709248 202063872 269418496 404127744 538836992 808255488 1077673984 1616510976 2155347968 3233021952 6466043904