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664811712 = 2634257499
BaseRepresentation
bin100111101000000…
…011100011000000
31201022221221020000
4213220003203000
52330142433322
6145545120000
722321543365
oct4750034300
91638857200
10664811712
113112a5974
12166789000
13a796ba16
146441846c
153d5713ac
hex27a038c0

664811712 has 140 divisors (see below), whose sum is σ = 1982343000. Its totient is φ = 220299264.

The previous prime is 664811699. The next prime is 664811717. The reversal of 664811712 is 217118466.

It is a happy number.

664811712 is a `hidden beast` number, since 6 + 6 + 481 + 171 + 2 = 666.

It is a super-2 number, since 2×6648117122 = 883949224824741888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664811717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1332039 + ... + 1332537.

Almost surely, 2664811712 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 664811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991171500).

664811712 is an abundant number, since it is smaller than the sum of its proper divisors (1317531288).

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

664811712 is a wasteful number, since it uses less digits than its factorization.

664811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 761 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 664811712 is about 25783.9429102688. The cubic root of 664811712 is about 872.7694860263.

The spelling of 664811712 in words is "six hundred sixty-four million, eight hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 257 288 324 432 499 514 576 648 771 864 998 1028 1296 1497 1542 1728 1996 2056 2313 2592 2994 3084 3992 4112 4491 4626 5184 5988 6168 6939 7984 8224 8982 9252 11976 12336 13473 13878 15968 16448 17964 18504 20817 23952 24672 26946 27756 31936 35928 37008 40419 41634 47904 49344 53892 55512 71856 74016 80838 83268 95808 107784 111024 128243 143712 148032 161676 166536 215568 222048 256486 287424 323352 333072 384729 431136 444096 512972 646704 666144 769458 862272 1025944 1154187 1293408 1332288 1538916 2051888 2308374 2586816 3077832 3462561 4103776 4616748 6155664 6925122 8207552 9233496 10387683 12311328 13850244 18466992 20775366 24622656 27700488 36933984 41550732 55400976 73867968 83101464 110801952 166202928 221603904 332405856 664811712