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1127082667216 = 24117387724367
BaseRepresentation
bin10000011001101011010…
…111001010110011010000
310222202012022212210212111
4100121223113022303100
5121431231130322331
62221435153035104
7144300105413002
oct20315327126320
93882168783774
101127082667216
113a4aa18677a0
12162529855a94
138238b94124c
143c7a02a8372
151e4b8414db1
hex1066b5cacd0

1127082667216 has 40 divisors (see below), whose sum is σ = 2414876402304. Its totient is φ = 505292348160.

The previous prime is 1127082667189. The next prime is 1127082667237. The reversal of 1127082667216 is 6127662807211.

It is a self number, because there is not a number n which added to its sum of digits gives 1127082667216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43849336 + ... + 43875031.

Almost surely, 21127082667216 is an apocalyptic number.

1127082667216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1127082667216 is an abundant number, since it is smaller than the sum of its proper divisors (1287793735088).

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

1127082667216 is a wasteful number, since it uses less digits than its factorization.

1127082667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87724459 (or 87724453 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 1127082667216 in words is "one trillion, one hundred twenty-seven billion, eighty-two million, six hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 6424 12848 87724367 175448734 350897468 701794936 964968037 1403589872 1929936074 3859872148 6403878791 7719744296 12807757582 15439488592 25615515164 51231030328 70442666701 102462060656 140885333402 281770666804 563541333608 1127082667216