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27112158304 = 2571124721283
BaseRepresentation
bin11001010000000000…
…101011010001100000
32120222111022100022021
4121100000223101200
5421011203031204
620242151351224
71646602354210
oct312000532140
976874270267
1027112158304
1110553119900
125307982514
132730cc042a
141452aba240
15a8a33c154
hex65002b460

27112158304 has 144 divisors (see below), whose sum is σ = 68482036224. Its totient is φ = 10337944320.

The previous prime is 27112158277. The next prime is 27112158329. The reversal of 27112158304 is 40385121172.

It is a self number, because there is not a number n which added to its sum of digits gives 27112158304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1263247 + ... + 1284529.

It is an arithmetic number, because the mean of its divisors is an integer number (475569696).

Almost surely, 227112158304 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 27112158304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34241018112).

27112158304 is an abundant number, since it is smaller than the sum of its proper divisors (41369877920).

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

27112158304 is a wasteful number, since it uses less digits than its factorization.

27112158304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21350 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

Adding to 27112158304 its reverse (40385121172), we get a palindrome (67497279476).

The spelling of 27112158304 in words is "twenty-seven billion, one hundred twelve million, one hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 77 88 94 112 121 154 176 188 224 242 308 329 352 376 484 517 616 658 752 847 968 1034 1232 1316 1504 1694 1936 2068 2464 2632 3388 3619 3872 4136 5264 5687 6776 7238 8272 10528 11374 13552 14476 16544 21283 22748 27104 28952 39809 42566 45496 57904 79618 85132 90992 115808 148981 159236 170264 181984 234113 297962 318472 340528 468226 595924 636944 681056 936452 1000301 1191848 1273888 1638791 1872904 2000602 2383696 2575243 3277582 3745808 4001204 4767392 5150486 6555164 7002107 7491616 8002408 10300972 11003311 13110328 14004214 16004816 18026701 20601944 22006622 26220656 28008428 32009632 36053402 41203888 44013244 52441312 56016856 72106804 77023177 82407776 88026488 112033712 121036421 144213608 154046354 176052976 224067424 242072842 288427216 308092708 352105952 484145684 576854432 616185416 847254947 968291368 1232370832 1694509894 1936582736 2464741664 3389019788 3873165472 6778039576 13556079152 27112158304