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72290543985 = 33511613312411
BaseRepresentation
bin100001101010011011…
…0100010100101110001
320220121001102010112000
41003110312202211301
52141022334401420
653113153124213
75136266325312
oct1032466424561
9226531363460
1072290543985
1128727144730
1212015b59669
136a80b5b71a
1436dad02609
151d31765690
hex10d4da2971

72290543985 has 128 divisors (see below), whose sum is σ = 142987991040. Its totient is φ = 34356960000.

The previous prime is 72290543971. The next prime is 72290544043. The reversal of 72290543985 is 58934509227.

72290543985 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 0 + 543 + 98 + 5 = 666.

It is not a de Polignac number, because 72290543985 - 28 = 72290543729 is a prime.

It is a super-3 number, since 3×722905439853 (a number of 34 digits) contains 333 as substring.

It is a Curzon 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 127 ways as a sum of consecutive naturals, for example, 29982430 + ... + 29984840.

It is an arithmetic number, because the mean of its divisors is an integer number (1117093680).

Almost surely, 272290543985 is an apocalyptic number.

It is an amenable number.

72290543985 is a deficient number, since it is larger than the sum of its proper divisors (70697447055).

72290543985 is a wasteful number, since it uses less digits than its factorization.

72290543985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 72290543985 in words is "seventy-two billion, two hundred ninety million, five hundred forty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 61 99 135 165 183 297 305 331 495 549 671 915 993 1485 1647 1655 2013 2411 2745 2979 3355 3641 4965 6039 7233 8235 8937 10065 10923 12055 14895 18117 18205 20191 21699 26521 30195 32769 36165 44685 54615 60573 65097 79563 90585 98307 100955 108495 132605 147071 163845 181719 222101 238689 302865 325485 397815 441213 491535 545157 666303 716067 735355 798041 908595 1110505 1193445 1323639 1617781 1998909 2206065 2394123 2725785 3331515 3580335 3970917 3990205 4853343 5996727 6618195 7182369 8088905 8778451 9994545 11970615 14560029 19854585 21547107 24266715 26335353 29983635 35911845 43680087 43892255 48680501 72800145 79006059 107735535 131676765 146041503 218400435 237018177 243402505 395030295 438124509 535485511 730207515 1185090885 1314373527 1606456533 2190622545 2677427555 4819369599 6571867635 8032282665 14458108797 24096847995 72290543985