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74217071712 = 2537787140333
BaseRepresentation
bin100010100011110101…
…1101010010001100000
321002120022111212201210
41011013223222101200
52203444032243322
654032253230120
75235111462240
oct1050753522140
9232508455653
1074217071712
1129525669503
1212473192340
136cca01c964
143840b13b20
151de596370c
hex1147aea460

74217071712 has 96 divisors (see below), whose sum is σ = 222935715072. Its totient is φ = 21177782784.

The previous prime is 74217071653. The next prime is 74217071729. The reversal of 74217071712 is 21717071247.

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

It is a super-2 number, since 2×742170717122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458698 + ... + 599030.

It is an arithmetic number, because the mean of its divisors is an integer number (2322247032).

Almost surely, 274217071712 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 74217071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111467857536).

74217071712 is an abundant number, since it is smaller than the sum of its proper divisors (148718643360).

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

74217071712 is a wasteful number, since it uses less digits than its factorization.

74217071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141140 (or 141132 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 39.

The spelling of 74217071712 in words is "seventy-four billion, two hundred seventeen million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 787 1574 2361 3148 4722 5509 6296 9444 11018 12592 16527 18888 22036 25184 33054 37776 44072 66108 75552 88144 132216 140333 176288 264432 280666 420999 528864 561332 841998 982331 1122664 1683996 1964662 2245328 2946993 3367992 3929324 4490656 5893986 6735984 7858648 11787972 13471968 15717296 23575944 31434592 47151888 94303776 110442071 220884142 331326213 441768284 662652426 773094497 883536568 1325304852 1546188994 1767073136 2319283491 2650609704 3092377988 3534146272 4638566982 5301219408 6184755976 9277133964 10602438816 12369511952 18554267928 24739023904 37108535856 74217071712