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85868201873840 = 24512176917127507
BaseRepresentation
bin10011100001100010111111…
…101010111001000110110000
3102021000220211121222001112012
4103201202333222321012300
542223331034134430330
6502343150220222052
724041526043053041
oct2341427752710660
9367026747861465
1085868201873840
11253a6555418691
1297699bb09a928
1338bb44b9352c9
14172c08656c8c8
159dd967c74c95
hex4e18bfab91b0

85868201873840 has 80 divisors (see below), whose sum is σ = 199838068732512. Its totient is φ = 34313827172352.

The previous prime is 85868201873827. The next prime is 85868201873849. The reversal of 85868201873840 is 4837810286858.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (85868201873849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673375367 + ... + 673502873.

Almost surely, 285868201873840 is an apocalyptic number.

85868201873840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85868201873840 is an abundant number, since it is smaller than the sum of its proper divisors (113969866858672).

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

85868201873840 is a wasteful number, since it uses less digits than its factorization.

85868201873840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135654 (or 135648 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 68.

The spelling of 85868201873840 in words is "eighty-five trillion, eight hundred sixty-eight billion, two hundred one million, eight hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1217 2434 4868 6085 6917 9736 12170 13834 19472 24340 27668 34585 48680 55336 69170 97360 110672 127507 138340 255014 276680 510028 553360 637535 1020056 1275070 2040112 2550140 5100280 8417989 10200560 16835978 33671956 42089945 67343912 84179890 134687824 155176019 168359780 310352038 336719560 620704076 673439120 775880095 881965919 1241408152 1551760190 1763931838 2482816304 3103520380 3527863676 4409829595 6207040760 7055727352 8819659190 12414081520 14111454704 17639318380 35278636760 70557273520 1073352523423 2146705046846 4293410093692 5366762617115 8586820187384 10733525234230 17173640374768 21467050468460 42934100936920 85868201873840