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664801623332 = 227211229966613
BaseRepresentation
bin10011010110010010100…
…00111011110100100100
32100112222011112121011122
421223021100323310210
541343003203421312
61225223341553112
766013255363400
oct11531120736444
92315864477148
10664801623332
11236a39204300
12a8a14875798
134a8c9109b22
142426871a100
151245ddddb72
hex9ac943bd24

664801623332 has 108 divisors (see below), whose sum is σ = 1538859154140. Its totient is φ = 250081856640.

The previous prime is 664801623319. The next prime is 664801623371. The reversal of 664801623332 is 233326108466.

It can be written as a sum of positive squares in 2 ways, for example, as 564550865956 + 100250757376 = 751366^2 + 316624^2 .

It is a super-2 number, since 2×6648016233322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204458 + ... + 1171070.

Almost surely, 2664801623332 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 664801623332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769429577070).

664801623332 is an abundant number, since it is smaller than the sum of its proper divisors (874057530808).

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

664801623332 is a wasteful number, since it uses less digits than its factorization.

664801623332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966682 (or 966662 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 664801623332 in words is "six hundred sixty-four billion, eight hundred one million, six hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 121 154 196 203 242 308 319 406 484 539 638 812 847 1078 1276 1421 1694 2156 2233 2842 3388 3509 4466 5684 5929 7018 8932 11858 14036 15631 23716 24563 31262 49126 62524 98252 171941 343882 687764 966613 1933226 3866452 6766291 10632743 13532582 21265486 27065164 28031777 42530972 47364037 56063554 74429201 94728074 112127108 116960173 148858402 189456148 196222439 233920346 297716804 308349547 392444878 467840692 521004407 616699094 784889756 818721211 1042008814 1233398188 1373557073 1637442422 2084017628 2158446829 2747114146 3274884844 3391845017 4316893658 5494228292 5731048477 6783690034 8633787316 11462096954 13567380068 15109127803 22924193908 23742915119 30218255606 47485830238 60436511212 94971660476 166200405833 332400811666 664801623332