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11073391728 = 2437172816899
BaseRepresentation
bin10100101000000011…
…01000110001110000
31001120201112120202120
422110001220301300
5140134242013403
65030445114240
7541260163620
oct122401506160
931521476676
1011073391728
114772706113
122190558980
1310761b2bc9
14770936880
1544c239e53
hex294068c70

11073391728 has 160 divisors (see below), whose sum is σ = 34744204800. Its totient is φ = 2966691840.

The previous prime is 11073391727. The next prime is 11073391741. The reversal of 11073391728 is 82719337011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11073391728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11073391727) 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, 1601623 + ... + 1608521.

It is an arithmetic number, because the mean of its divisors is an integer number (217151280).

Almost surely, 211073391728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11073391728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372102400).

11073391728 is an abundant number, since it is smaller than the sum of its proper divisors (23670813072).

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

11073391728 is a wasteful number, since it uses less digits than its factorization.

11073391728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 11073391728 in words is "eleven billion, seventy-three million, three hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 281 336 357 408 476 562 714 816 843 952 1124 1428 1686 1904 1967 2248 2856 3372 3934 4496 4777 5712 5901 6744 6899 7868 9554 11802 13488 13798 14331 15736 19108 20697 23604 27596 28662 31472 33439 38216 41394 47208 48293 55192 57324 66878 76432 82788 94416 96586 100317 110384 114648 117283 133756 144879 165576 193172 200634 229296 234566 267512 289758 331152 351849 386344 401268 469132 535024 579516 703698 772688 802536 820981 938264 1159032 1407396 1605072 1641962 1876528 1938619 2318064 2462943 2814792 3283924 3877238 4925886 5629584 5815857 6567848 7754476 9851772 11631714 13135696 13570333 15508952 19703544 23263428 27140666 31017904 32956523 39407088 40710999 46526856 54281332 65913046 81421998 93053712 98869569 108562664 131826092 162843996 197739138 217125328 230695661 263652184 325687992 395478276 461391322 527304368 651375984 692086983 790956552 922782644 1384173966 1581913104 1845565288 2768347932 3691130576 5536695864 11073391728