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2066621664 = 253291037207
BaseRepresentation
bin111101100101110…
…0010010011100000
312100000201020222010
41323023202103200
513213023343124
6541022512520
7102132665022
oct17313422340
95300636863
102066621664
11970610498
12498135740
1326c202273
1415867c012
15c1672529
hex7b2e24e0

2066621664 has 96 divisors (see below), whose sum is σ = 5667217920. Its totient is φ = 658570752.

The previous prime is 2066621663. The next prime is 2066621671. The reversal of 2066621664 is 4661266602.

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

It is a super-2 number, since 2×20666216642 = 8541850204228257792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066621663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283149 + ... + 290355.

It is an arithmetic number, because the mean of its divisors is an integer number (59033520).

Almost surely, 22066621664 is an apocalyptic number.

2066621664 is a gapful number since it is divisible by the number (24) 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 2066621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833608960).

2066621664 is an abundant number, since it is smaller than the sum of its proper divisors (3600596256).

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

2066621664 is a wasteful number, since it uses less digits than its factorization.

2066621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7352 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2066621664 is about 45460.1106905824. The cubic root of 2066621664 is about 1273.7581991541.

The spelling of 2066621664 in words is "two billion, sixty-six million, six hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 103 116 174 206 232 309 348 412 464 618 696 824 928 1236 1392 1648 2472 2784 2987 3296 4944 5974 7207 8961 9888 11948 14414 17922 21621 23896 28828 35844 43242 47792 57656 71688 86484 95584 115312 143376 172968 209003 230624 286752 345936 418006 627009 691872 742321 836012 1254018 1484642 1672024 2226963 2508036 2969284 3344048 4453926 5016072 5938568 6688096 8907852 10032144 11877136 17815704 20064288 21527309 23754272 35631408 43054618 64581927 71262816 86109236 129163854 172218472 258327708 344436944 516655416 688873888 1033310832 2066621664