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1110842222592 = 21131163155461
BaseRepresentation
bin10000001010100011010…
…110110010100000000000
310221012021111121202001110
4100022203112302200000
5121200001102110332
62210151444003320
7143153464045644
oct20124326624000
93835244552043
101110842222592
11399118525333
1215b356990540
13809a110c9bb
143ba9d426c24
151dd677764cc
hex102a35b2800

1110842222592 has 96 divisors (see below), whose sum is σ = 2964088239840. Its totient is φ = 369959976960.

The previous prime is 1110842222569. The next prime is 1110842222593. The reversal of 1110842222592 is 2952222480111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1110842222592.

It is not an unprimeable number, because it can be changed into a prime (1110842222593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7067742 + ... + 7223202.

It is an arithmetic number, because the mean of its divisors is an integer number (30875919165).

Almost surely, 21110842222592 is an apocalyptic number.

1110842222592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110842222592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482044119920).

1110842222592 is an abundant number, since it is smaller than the sum of its proper divisors (1853246017248).

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

1110842222592 is a wasteful number, since it uses less digits than its factorization.

1110842222592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156649 (or 156629 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 1110842222592 in words is "one trillion, one hundred ten billion, eight hundred forty-two million, two hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1163 1536 2048 2326 3072 3489 4652 6144 6978 9304 13956 18608 27912 37216 55824 74432 111648 148864 155461 223296 297728 310922 446592 466383 595456 621844 893184 932766 1190912 1243688 1786368 1865532 2381824 2487376 3572736 3731064 4974752 7145472 7462128 9949504 14924256 19899008 29848512 39798016 59697024 79596032 119394048 159192064 180801143 238788096 318384128 361602286 477576192 542403429 723204572 955152384 1084806858 1446409144 2169613716 2892818288 4339227432 5785636576 8678454864 11571273152 17356909728 23142546304 34713819456 46285092608 69427638912 92570185216 138855277824 185140370432 277710555648 370280740864 555421111296 1110842222592