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11078135424 = 27341397687
BaseRepresentation
bin10100101000100111…
…01110111010000000
31001121001110120220000
422110103232322000
5140142000313144
65031134520000
7541345411626
oct122423567200
931531416800
1011078135424
114775356124
122192066000
131077184125
1477140d516
1544c875769
hex2944eee80

11078135424 has 160 divisors (see below), whose sum is σ = 33209853600. Its totient is φ = 3665668608.

The previous prime is 11078135407. The next prime is 11078135437. The reversal of 11078135424 is 42453187011.

11078135424 is a `hidden beast` number, since 1 + 107 + 8 + 1 + 3 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1437309 + ... + 1444995.

It is an arithmetic number, because the mean of its divisors is an integer number (207561585).

Almost surely, 211078135424 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 11078135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604926800).

11078135424 is an abundant number, since it is smaller than the sum of its proper divisors (22131718176).

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

11078135424 is an equidigital number, since it uses as much as digits as its factorization.

11078135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11078135424 in words is "eleven billion, seventy-eight million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 278 288 324 384 417 432 556 576 648 834 864 1112 1152 1251 1296 1668 1728 2224 2502 2592 3336 3456 3753 4448 5004 5184 6672 7506 7687 8896 10008 10368 11259 13344 15012 15374 17792 20016 22518 23061 26688 30024 30748 40032 45036 46122 53376 60048 61496 69183 80064 90072 92244 120096 122992 138366 160128 180144 184488 207549 240192 245984 276732 360288 368976 415098 480384 491968 553464 622647 720576 737952 830196 983936 1068493 1106928 1245294 1441152 1475904 1660392 2136986 2213856 2490588 2951808 3205479 3320784 4273972 4427712 4981176 6410958 6641568 8547944 8855424 9616437 9962352 12821916 13283136 17095888 19232874 19924704 25643832 26566272 28849311 34191776 38465748 39849408 51287664 57698622 68383552 76931496 79698816 86547933 102575328 115397244 136767104 153862992 173095866 205150656 230794488 307725984 346191732 410301312 461588976 615451968 692383464 923177952 1230903936 1384766928 1846355904 2769533856 3692711808 5539067712 11078135424