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27064649448 = 2333315968507
BaseRepresentation
bin11001001101001011…
…011100011011101000
32120212011220122102000
4121031023130123220
5420412022240243
620233333211000
71645454503344
oct311513343350
976764818360
1027064649448
111052931a791
1252b3a90a60
1327241c7b95
14144a670624
15a860a55d3
hex64d2dc6e8

27064649448 has 128 divisors (see below), whose sum is σ = 78921216000. Its totient is φ = 8582431680.

The previous prime is 27064649413. The next prime is 27064649453. The reversal of 27064649448 is 84494646072.

27064649448 is a `hidden beast` number, since 2 + 70 + 6 + 46 + 494 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27064649394 and 27064649403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360811 + ... + 429317.

It is an arithmetic number, because the mean of its divisors is an integer number (616572000).

Almost surely, 227064649448 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 27064649448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39460608000).

27064649448 is an abundant number, since it is smaller than the sum of its proper divisors (51856566552).

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

27064649448 is a wasteful number, since it uses less digits than its factorization.

27064649448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68612 (or 68602 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 27064649448 in words is "twenty-seven billion, sixty-four million, six hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 59 62 72 93 108 118 124 177 186 216 236 248 279 354 372 472 531 558 708 744 837 1062 1116 1416 1593 1674 1829 2124 2232 3186 3348 3658 4248 5487 6372 6696 7316 10974 12744 14632 16461 21948 32922 43896 49383 65844 68507 98766 131688 137014 197532 205521 274028 395064 411042 548056 616563 822084 1233126 1644168 1849689 2123717 2466252 3699378 4041913 4247434 4932504 6371151 7398756 8083826 8494868 12125739 12742302 14797512 16167652 16989736 19113453 24251478 25484604 32335304 36377217 38226906 48502956 50969208 57340359 72754434 76453812 97005912 109131651 114680718 125299303 145508868 152907624 218263302 229361436 250598606 291017736 375897909 436526604 458722872 501197212 751795818 873053208 1002394424 1127693727 1503591636 2255387454 3007183272 3383081181 4510774908 6766162362 9021549816 13532324724 27064649448