Search a number
-
+
6597069766656 = 2413
BaseRepresentation
bin110000000000000000000…
…0000000000000000000000
3212100200012010122022220120
41200000000000000000000
51331041244330013111
622010352500140240
71250423352535635
oct140000000000000
925320163568816
106597069766656
11211388a9972a6
128a6681397680
1338b140bc2305
1418b42ac2c18c
15b6911943406
hex60000000000

6597069766656 has 84 divisors (see below), whose sum is σ = 17592186044412. Its totient is φ = 2199023255552.

The previous prime is 6597069766631. The next prime is 6597069766657. The reversal of 6597069766656 is 6566679607956.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)38.

It is a super-2 number, since 2×65970697666562 (a number of 26 digits) contains 22 as substring.

It is a nialpdrome in base 2 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6597069766657) by changing a digit.

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

In principle, a polygon with 6597069766656 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2199023255551 + 2199023255552 + 2199023255553.

It is an arithmetic number, because the mean of its divisors is an integer number (209430786243).

Almost surely, 26597069766656 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 6597069766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796093022206).

6597069766656 is an abundant number, since it is smaller than the sum of its proper divisors (10995116277756).

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

6597069766656 is an frugal number, since it uses more digits than its factorization.

6597069766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 4629441600, while the sum is 78.

The spelling of 6597069766656 in words is "six trillion, five hundred ninety-seven billion, sixty-nine million, seven hundred sixty-six thousand, six hundred fifty-six".

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 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 8589934592 12884901888 17179869184 25769803776 34359738368 51539607552 68719476736 103079215104 137438953472 206158430208 274877906944 412316860416 549755813888 824633720832 1099511627776 1649267441664 2199023255552 3298534883328 6597069766656