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11244275858112 = 2631117659301489
BaseRepresentation
bin1010001110100000001100…
…0100010111101011000000
31110210221102220202222221120
42203220003010113223000
52433211234104424422
635525314330552240
72240241431544633
oct243500304275300
943727386688846
1011244275858112
113645741647690
121317271298680
1363743b61152b
142ac323a65c1a
15147751bcb45c
hexa3a03117ac0

11244275858112 has 112 divisors (see below), whose sum is σ = 32457014486400. Its totient is φ = 3407152066560.

The previous prime is 11244275858029. The next prime is 11244275858143. The reversal of 11244275858112 is 21185857244211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37145064 + ... + 37446552.

It is an arithmetic number, because the mean of its divisors is an integer number (289794772200).

Almost surely, 211244275858112 is an apocalyptic number.

11244275858112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11244275858112 is an abundant number, since it is smaller than the sum of its proper divisors (21212738628288).

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

11244275858112 is a wasteful number, since it uses less digits than its factorization.

11244275858112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319174 (or 319164 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 51.

The spelling of 11244275858112 in words is "eleven trillion, two hundred forty-four billion, two hundred seventy-five million, eight hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 17659 35318 52977 70636 105954 141272 194249 211908 282544 301489 388498 423816 565088 582747 602978 776996 847632 904467 1130176 1165494 1205956 1553992 1695264 1808934 2330988 2411912 3107984 3316379 3390528 3617868 4661976 4823824 6215968 6632758 7235736 9323952 9647648 9949137 12431936 13265516 14471472 18647904 19295296 19898274 26531032 28942944 37295808 39796548 53062064 57885888 79593096 106124128 159186192 212248256 318372384 636744768 5323994251 10647988502 15971982753 21295977004 31943965506 42591954008 58563936761 63887931012 85183908016 117127873522 127775862024 170367816032 175691810283 234255747044 255551724048 340735632064 351383620566 468511494088 511103448096 702767241132 937022988176 1022206896192 1405534482264 1874045976352 2811068964528 3748091952704 5622137929056 11244275858112