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104173086240 = 2532572342421
BaseRepresentation
bin110000100000100110…
…0110010011000100000
3100221220000001002101100
41201001030302120200
53201321302224430
6115504554434400
710345335423456
oct1410114623040
9327800032340
10104173086240
11401a7a9a603
1218233432a00
139a92254142
14508338c9d6
152a9a79e960
hex1841332620

104173086240 has 72 divisors (see below), whose sum is σ = 355490661708. Its totient is φ = 27779489280.

The previous prime is 104173086233. The next prime is 104173086299. The reversal of 104173086240 is 42680371401.

104173086240 is a `hidden beast` number, since 10 + 4 + 17 + 3 + 0 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94379212944 + 9793873296 = 307212^2 + 98964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104173086195 and 104173086204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36169771 + ... + 36172650.

Almost surely, 2104173086240 is an apocalyptic number.

104173086240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104173086240 is an abundant number, since it is smaller than the sum of its proper divisors (251317575468).

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

104173086240 is a wasteful number, since it uses less digits than its factorization.

104173086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72342442 (or 72342431 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 104173086240 in words is "one hundred four billion, one hundred seventy-three million, eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 72342421 144684842 217027263 289369684 361712105 434054526 578739368 651081789 723424210 868109052 1085136315 1157478736 1302163578 1446848420 1736218104 2170272630 2314957472 2604327156 2893696840 3255408945 3472436208 4340545260 5208654312 5787393680 6510817890 6944872416 8681090520 10417308624 11574787360 13021635780 17362181040 20834617248 26043271560 34724362080 52086543120 104173086240