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11451511051032 = 23313617115151683
BaseRepresentation
bin1010011010100100001100…
…1111111001001100011000
31111112202100111100120021010
42212221003033321030120
53000110143312113112
640204430200213520
72261226055612563
oct246510317711430
944482314316233
1011451511051032
1137156164a2368
12134b467a6a2a0
13650b46893440
142b8382a074da
1514cd3042663c
hexa6a433f9318

11451511051032 has 128 divisors (see below), whose sum is σ = 30908388188160. Its totient is φ = 3514706764800.

The previous prime is 11451511050979. The next prime is 11451511051039. The reversal of 11451511051032 is 23015011515411.

It is a super-2 number, since 2×114515110510322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451511051039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221546263 + ... + 221597945.

It is an arithmetic number, because the mean of its divisors is an integer number (241471782720).

Almost surely, 211451511051032 is an apocalyptic number.

11451511051032 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 11451511051032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454194094080).

11451511051032 is an abundant number, since it is smaller than the sum of its proper divisors (19456877137128).

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

11451511051032 is a wasteful number, since it uses less digits than its factorization.

11451511051032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53473 (or 53469 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

Adding to 11451511051032 its reverse (23015011515411), we get a palindrome (34466522566443).

The spelling of 11451511051032 in words is "eleven trillion, four hundred fifty-one billion, five hundred eleven million, fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 617 1151 1234 1851 2302 2468 3453 3702 4604 4936 6906 7404 8021 9208 13812 14808 14963 16042 24063 27624 29926 32084 44889 48126 51683 59852 64168 89778 96252 103366 119704 155049 179556 192504 206732 310098 359112 413464 620196 671879 710167 1240392 1343758 1420334 2015637 2130501 2687516 2840668 4031274 4261002 5375032 5681336 8062548 8522004 9232171 16125096 17044008 18464342 27696513 31888411 36928684 55393026 59487133 63776822 73857368 95665233 110786052 118974266 127553644 178461399 191330466 221572104 237948532 255107288 356922798 382660932 414549343 475897064 713845596 765321864 773332729 829098686 1243648029 1427691192 1546665458 1658197372 2319998187 2487296058 3093330916 3316394744 4639996374 4974592116 6186661832 9279992748 9949184232 18559985496 36703561061 73407122122 110110683183 146814244244 220221366366 293628488488 440442732732 477146293793 880885465464 954292587586 1431438881379 1908585175172 2862877762758 3817170350344 5725755525516 11451511051032