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9085970930976 = 253353198418303
BaseRepresentation
bin1000010000110111111000…
…0100011101110100100000
31012011121110221021121211000
42010031332010131310200
52142331032024242401
631154012025552000
71625303554425012
oct204157604356440
935147427247730
109085970930976
11299337a7a1005
121028b09345600
1350ba5a053254
14235a988641b2
1510b530e90186
hex8437e11dd20

9085970930976 has 96 divisors (see below), whose sum is σ = 27000762808320. Its totient is φ = 2971512490752.

The previous prime is 9085970930957. The next prime is 9085970931001. The reversal of 9085970930976 is 6790390795809.

It is a happy number.

9085970930976 is a `hidden beast` number, since 90 + 85 + 97 + 0 + 9 + 309 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99163360 + ... + 99254943.

It is an arithmetic number, because the mean of its divisors is an integer number (281257945920).

Almost surely, 29085970930976 is an apocalyptic number.

9085970930976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9085970930976 is an abundant number, since it is smaller than the sum of its proper divisors (17914791877344).

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

9085970930976 is a wasteful number, since it uses less digits than its factorization.

9085970930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198418375 (or 198418361 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 9085970930976 in words is "nine trillion, eighty-five billion, nine hundred seventy million, nine hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 5088 5724 7632 11448 15264 22896 45792 198418303 396836606 595254909 793673212 1190509818 1587346424 1785764727 2381019636 3174692848 3571529454 4762039272 5357294181 6349385696 7143058908 9524078544 10516170059 10714588362 14286117816 19048157088 21032340118 21429176724 28572235632 31548510177 42064680236 42858353448 57144471264 63097020354 84129360472 85716706896 94645530531 126194040708 168258720944 171433413792 189291061062 252388081416 283936591593 336517441888 378582122124 504776162832 567873183186 757164244248 1009552325664 1135746366372 1514328488496 2271492732744 3028656976992 4542985465488 9085970930976