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2127005546112 = 27322503373757
BaseRepresentation
bin11110111100111011011…
…010001111011010000000
321112100011200012002002100
4132330323122033122000
5234322101404433422
64305044410350400
7306446115556116
oct36747332173200
97470150162070
102127005546112
117500701a8437
122a4289a2b400
13125763c46ba5
1474d3a397ab6
153a4dcee57ac
hex1ef3b68f680

2127005546112 has 96 divisors (see below), whose sum is σ = 6121007514180. Its totient is φ = 708963913728.

The previous prime is 2127005546111. The next prime is 2127005546147. The reversal of 2127005546112 is 2116455007212.

2127005546112 is a `hidden beast` number, since 21 + 2 + 70 + 0 + 554 + 6 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1788253609536 + 338751936576 = 1337256^2 + 582024^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (2127005546111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28801138 + ... + 28874894.

Almost surely, 22127005546112 is an apocalyptic number.

It is an amenable number.

2127005546112 is an abundant number, since it is smaller than the sum of its proper divisors (3994001968068).

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

2127005546112 is a wasteful number, since it uses less digits than its factorization.

2127005546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98810 (or 98795 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 2127005546112 in words is "two trillion, one hundred twenty-seven billion, five million, five hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25033 50066 73757 75099 100132 147514 150198 200264 221271 225297 295028 300396 400528 442542 450594 590056 600792 663813 801056 885084 901188 1180112 1201584 1327626 1602112 1770168 1802376 2360224 2403168 2655252 3204224 3540336 3604752 4720448 4806336 5310504 7080672 7209504 9440896 9612672 10621008 14161344 14419008 21242016 28322688 28838016 42484032 84968064 1846358981 3692717962 5539076943 7385435924 11078153886 14770871848 16617230829 22156307772 29541743696 33234461658 44312615544 59083487392 66468923316 88625231088 118166974784 132937846632 177250462176 236333949568 265875693264 354500924352 531751386528 709001848704 1063502773056 2127005546112