Search a number
-
+
28166250732156 = 223237127727229027
BaseRepresentation
bin1100110011101111101110…
…10111101001101001111100
310200201200000102221011001100
412121313313113221221330
512142433440141412111
6135523221424213100
75634641643654225
oct631676727515174
9120650012834040
1028166250732156
118a7a270277a79
1231aa98446a190
1312940b214b294
146d537a64a24c
1533ca073ec756
hex199df75e9a7c

28166250732156 has 144 divisors (see below), whose sum is σ = 73799754735616. Its totient is φ = 9050565186432.

The previous prime is 28166250732143. The next prime is 28166250732167. The reversal of 28166250732156 is 65123705266182.

28166250732156 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 62 + 507 + 3 + 21 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122867715 + ... + 123096741.

Almost surely, 228166250732156 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 28166250732156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36899877367808).

28166250732156 is an abundant number, since it is smaller than the sum of its proper divisors (45633504003460).

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

28166250732156 is a wasteful number, since it uses less digits than its factorization.

28166250732156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229928 (or 229923 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 28166250732156 in words is "twenty-eight trillion, one hundred sixty-six billion, two hundred fifty million, seven hundred thirty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 127 148 222 254 333 381 444 508 666 727 762 1143 1332 1454 1524 2181 2286 2908 4362 4572 4699 6543 8724 9398 13086 14097 18796 26172 26899 28194 42291 53798 56388 80697 84582 92329 107596 161394 169164 184658 229027 242091 276987 322788 369316 458054 484182 553974 687081 830961 916108 968364 1107948 1374162 1661922 2061243 2748324 3323844 3416173 4122486 6832346 8244972 8473999 10248519 13664692 16947998 20497038 25421997 29086429 30745557 33895996 40994076 50843994 58172858 61491114 76265991 87259287 101687988 116345716 122982228 152531982 166502629 174518574 261777861 305063964 333005258 349037148 499507887 523555722 666010516 999015774 1047111444 1076197873 1498523661 1998031548 2152395746 2997047322 3228593619 4304791492 5994094644 6160597273 6457187238 9685780857 12321194546 12914374476 18481791819 19371561714 21145833883 24642389092 36963583638 38743123428 42291667766 55445375457 63437501649 73927167276 84583335532 110890750914 126875003298 190312504947 221781501828 253750006596 380625009894 761250019788 782395853671 1564791707342 2347187561013 3129583414684 4694375122026 7041562683039 9388750244052 14083125366078 28166250732156