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9081143328816 = 24331312971246733
BaseRepresentation
bin1000010000100101111001…
…0100101000000000110000
31012011011000111022000122000
42010021132110220000300
52142241140143010231
631151453013414000
71625043124454106
oct204113624500060
935134014260560
109081143328816
112991322734059
121027ba063a300
1350b46ab36220
1423575b63bc76
1510b34c23e6e6
hex8425e528030

9081143328816 has 160 divisors (see below), whose sum is σ = 28093006307520. Its totient is φ = 2792041353216.

The previous prime is 9081143328799. The next prime is 9081143328869. The reversal of 9081143328816 is 6188233411809.

9081143328816 is a `hidden beast` number, since 90 + 81 + 143 + 328 + 8 + 16 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6660586 + ... + 7907318.

It is an arithmetic number, because the mean of its divisors is an integer number (175581289422).

Almost surely, 29081143328816 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 9081143328816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046503153760).

9081143328816 is an abundant number, since it is smaller than the sum of its proper divisors (19011862978704).

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

9081143328816 is a wasteful number, since it uses less digits than its factorization.

9081143328816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248060 (or 1248048 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 9081143328816 in words is "nine trillion, eighty-one billion, one hundred forty-three million, three hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1297 1404 1872 2594 2808 3891 5188 5616 7782 10376 11673 15564 16861 20752 23346 31128 33722 35019 46692 50583 62256 67444 70038 93384 101166 134888 140076 151749 186768 202332 269776 280152 303498 404664 455247 560304 606996 809328 910494 1213992 1246733 1820988 2427984 2493466 3641976 3740199 4986932 7283952 7480398 9973864 11220597 14960796 16207529 19947728 22441194 29921592 32415058 33661791 44882388 48622587 59843184 64830116 67323582 89764776 97245174 129660232 134647164 145867761 179529552 194490348 259320464 269294328 291735522 388980696 437603283 538588656 583471044 777961392 875206566 1166942088 1617012701 1750413132 2333884176 3234025402 3500826264 4851038103 6468050804 7001652528 9702076206 12936101608 14553114309 19404152412 21021165113 25872203216 29106228618 38808304824 42042330226 43659342927 58212457236 63063495339 77616609648 84084660452 87318685854 116424914472 126126990678 168169320904 174637371708 189190486017 232849828944 252253981356 336338641808 349274743416 378380972034 504507962712 567571458051 698549486832 756761944068 1009015925424 1135142916102 1513523888136 2270285832204 3027047776272 4540571664408 9081143328816