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1149938832768 = 27311272239307
BaseRepresentation
bin10000101110111101101…
…100100001010110000000
311001221012012210022200120
4100232331230201112000
5122320033320122033
62240135152020240
7146036361542115
oct20567554412600
94057165708616
101149938832768
11403760546210
12166a48231680
1384591c7c96b
143d92ba3490c
151eda4cb21b3
hex10bbdb21580

1149938832768 has 64 divisors (see below), whose sum is σ = 3332209129920. Its totient is φ = 348466311680.

The previous prime is 1149938832709. The next prime is 1149938832773. The reversal of 1149938832768 is 8672388399411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136115430 + ... + 136123877.

It is an arithmetic number, because the mean of its divisors is an integer number (52065767655).

Almost surely, 21149938832768 is an apocalyptic number.

It is an amenable number.

1149938832768 is an abundant number, since it is smaller than the sum of its proper divisors (2182270297152).

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

1149938832768 is a wasteful number, since it uses less digits than its factorization.

1149938832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272239335 (or 272239323 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 1149938832768 in words is "one trillion, one hundred forty-nine billion, nine hundred thirty-eight million, eight hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 272239307 544478614 816717921 1088957228 1633435842 2177914456 2994632377 3266871684 4355828912 5989264754 6533743368 8711657824 8983897131 11978529508 13067486736 17423315648 17967794262 23957059016 26134973472 34846631296 35935588524 47914118032 52269946944 71871177048 95828236064 104539893888 143742354096 191656472128 287484708192 383312944256 574969416384 1149938832768