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104413252000 = 2553171535489
BaseRepresentation
bin110000100111110000…
…0111100100110100000
3100222111201221202212111
41201033200330212200
53202314243031000
6115544454205104
710354312666261
oct1411740744640
9328451852774
10104413252000
1140310616702
121829b953794
139accc32565
1450a7228968
152ab18decba
hex184f83c9a0

104413252000 has 96 divisors (see below), whose sum is σ = 271634322960. Its totient is φ = 39308492800.

The previous prime is 104413251997. The next prime is 104413252001. The reversal of 104413252000 is 252314401.

It can be written as a sum of positive squares in 8 ways, for example, as 27991966864 + 76421285136 = 167308^2 + 276444^2 .

It is not an unprimeable number, because it can be changed into a prime (104413252001) 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, 699745 + ... + 835744.

Almost surely, 2104413252000 is an apocalyptic number.

104413252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104413252000 is an abundant number, since it is smaller than the sum of its proper divisors (167221070960).

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

104413252000 is a wasteful number, since it uses less digits than its factorization.

104413252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535531 (or 1535513 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 104413252000 its reverse (252314401), we get a palindrome (104665566401).

The spelling of 104413252000 in words is "one hundred four billion, four hundred thirteen million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 1535489 3070978 6141956 7677445 12283912 15354890 24567824 26103313 30709780 38387225 49135648 52206626 61419560 76774450 104413252 122839120 130516565 153548900 191936125 208826504 245678240 261033130 307097800 383872250 417653008 522066260 614195600 652582825 767744500 835306016 1044132520 1228391200 1305165650 1535489000 2088265040 2610331300 3070978000 3262914125 4176530080 5220662600 6141956000 6525828250 10441325200 13051656500 20882650400 26103313000 52206626000 104413252000