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11487287280 = 2435719313541
BaseRepresentation
bin10101011001011001…
…00001011111110000
31002122120100122201110
422230230201133300
5142011221143110
65135512233320
7554444221320
oct125454413760
932576318643
1011487287280
114965301a57
12228709b840
131110b7b211
147ad8b7280
15473745a20
hex2acb217f0

11487287280 has 160 divisors (see below), whose sum is σ = 40730393088. Its totient is φ = 2623564800.

The previous prime is 11487287269. The next prime is 11487287303. The reversal of 11487287280 is 8278278411.

11487287280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3242310 + ... + 3245850.

Almost surely, 211487287280 is an apocalyptic number.

11487287280 is a gapful number since it is divisible by the number (10) 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 11487287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20365196544).

11487287280 is an abundant number, since it is smaller than the sum of its proper divisors (29243105808).

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

11487287280 is a wasteful number, since it uses less digits than its factorization.

11487287280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 11487287280 in words is "eleven billion, four hundred eighty-seven million, two hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1931 3541 3862 5793 7082 7724 9655 10623 11586 13517 14164 15448 17705 19310 21246 23172 24787 27034 28328 28965 30896 35410 38620 40551 42492 46344 49574 53115 54068 56656 57930 67585 70820 74361 77240 81102 84984 92688 99148 106230 108136 115860 123935 135170 141640 148722 154480 162204 169968 198296 202755 212460 216272 231720 247870 270340 283280 297444 324408 371805 396592 405510 424920 463440 495740 540680 594888 648816 743610 811020 849840 991480 1081360 1189776 1487220 1622040 1982960 2974440 3244080 5948880 6837671 13675342 20513013 27350684 34188355 41026026 47863697 54701368 68376710 82052052 95727394 102565065 109402736 136753420 143591091 164104104 191454788 205130130 239318485 273506840 287182182 328208208 382909576 410260260 478636970 547013680 574364364 717955455 765819152 820520520 957273940 1148728728 1435910910 1641041040 1914547880 2297457456 2871821820 3829095760 5743643640 11487287280