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205452521040 = 24351365850167
BaseRepresentation
bin1011111101010111101…
…1001010111001010000
3201122022100011110020010
42333111323022321100
511331231321133130
6234214504314520
720562206420544
oct2772573127120
9648270143203
10205452521040
117a14a656a38
1233999772a40
13164b2b4b0a0
149d302d9a24
155526eb60b0
hex2fd5ecae50

205452521040 has 80 divisors (see below), whose sum is σ = 685895349888. Its totient is φ = 50572927488.

The previous prime is 205452521023. The next prime is 205452521051. The reversal of 205452521040 is 40125254502.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 205452520989 and 205452521007.

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, 32921964 + ... + 32928203.

Almost surely, 2205452521040 is an apocalyptic number.

205452521040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205452521040 is an abundant number, since it is smaller than the sum of its proper divisors (480442828848).

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

205452521040 is a wasteful number, since it uses less digits than its factorization.

205452521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65850196 (or 65850190 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 205452521040 its reverse (40125254502), we get a palindrome (245577775542).

The spelling of 205452521040 in words is "two hundred five billion, four hundred fifty-two million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 65850167 131700334 197550501 263400668 329250835 395101002 526801336 658501670 790202004 856052171 987752505 1053602672 1317003340 1580404008 1712104342 1975505010 2568156513 2634006680 3160808016 3424208684 3951010020 4280260855 5136313026 5268013360 6848417368 7902020040 8560521710 10272626052 12840782565 13696834736 15804040080 17121043420 20545252104 25681565130 34242086840 41090504208 51363130260 68484173680 102726260520 205452521040