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27052944688 = 24721121114867
BaseRepresentation
bin11001001100011110…
…110010110100110000
32120211100212222111101
4121030132302310300
5420401023212223
620232234254144
71645253143600
oct311436626460
976740788441
1027052944688
1110522755830
1252abb87354
13272195a3a3
141448ca4c00
15a850424ad
hex64c7b2d30

27052944688 has 120 divisors (see below), whose sum is σ = 66835347264. Its totient is φ = 10489449600.

The previous prime is 27052944559. The next prime is 27052944691. The reversal of 27052944688 is 88644925072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812231 + ... + 1827097.

Almost surely, 227052944688 is an apocalyptic number.

27052944688 is a gapful number since it is divisible by the number (28) 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 27052944688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33417673632).

27052944688 is an abundant number, since it is smaller than the sum of its proper divisors (39782402576).

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

27052944688 is a wasteful number, since it uses less digits than its factorization.

27052944688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15111 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 27052944688 in words is "twenty-seven billion, fifty-two million, nine hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 211 308 392 422 539 616 784 844 1078 1232 1477 1688 2156 2321 2954 3376 4312 4642 5908 8624 9284 10339 11816 14867 16247 18568 20678 23632 29734 32494 37136 41356 59468 64988 82712 104069 113729 118936 129976 163537 165424 208138 227458 237872 259952 327074 416276 454916 654148 728483 832552 909832 1144759 1308296 1456966 1665104 1819664 2289518 2616592 2913932 3136937 4579036 5827864 6273874 8013313 9158072 11655728 12547748 16026626 18316144 21958559 25095496 32053252 34506307 43917118 50190992 64106504 69012614 87834236 128213008 138025228 153709913 175668472 241544149 276050456 307419826 351336944 483088298 552100912 614839652 966176596 1229679304 1690809043 1932353192 2459358608 3381618086 3864706384 6763236172 13526472344 27052944688