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11287818870 = 23519139142469
BaseRepresentation
bin10101000001100111…
…00111001001110110
31002010200000121111120
422200303213021312
5141104140200440
65104025044410
7546502606626
oct124063471166
932120017446
1011287818870
114872752429
122230326706
1310ab74bb83
147911d2886
15460e93dd0
hex2a0ce7276

11287818870 has 64 divisors (see below), whose sum is σ = 28721952000. Its totient is φ = 2831124096.

The previous prime is 11287818869. The next prime is 11287818907. The reversal of 11287818870 is 7881878211.

11287818870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7996 + ... + 150464.

It is an arithmetic number, because the mean of its divisors is an integer number (448780500).

Almost surely, 211287818870 is an apocalyptic number.

11287818870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11287818870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360976000).

11287818870 is an abundant number, since it is smaller than the sum of its proper divisors (17434133130).

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

11287818870 is a wasteful number, since it uses less digits than its factorization.

11287818870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142637.

The product of its (nonzero) digits is 401408, while the sum is 51.

The spelling of 11287818870 in words is "eleven billion, two hundred eighty-seven million, eight hundred eighteen thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 278 285 417 570 695 834 1390 2085 2641 4170 5282 7923 13205 15846 26410 39615 79230 142469 284938 427407 712345 854814 1424690 2137035 2706911 4274070 5413822 8120733 13534555 16241466 19803191 27069110 39606382 40603665 59409573 81207330 99015955 118819146 198031910 297047865 376260629 594095730 752521258 1128781887 1881303145 2257563774 3762606290 5643909435 11287818870