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205251405432 = 23371807119099
BaseRepresentation
bin1011111100100111101…
…1111110011001111000
3201121210022201201110220
42333021323332121320
511330323324433212
6234142521540040
720554215105633
oct2771173763170
9647708651426
10205251405432
117a057081897
1233942344620
1316480293078
149d11706c1a
1555144db38c
hex2fc9efe678

205251405432 has 32 divisors (see below), whose sum is σ = 513139968000. Its totient is φ = 68415607904.

The previous prime is 205251405419. The next prime is 205251405461. The reversal of 205251405432 is 234504152502.

It is a happy number.

It is a super-2 number, since 2×2052514054322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205251405393 and 205251405402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1663819 + ... + 1782917.

It is an arithmetic number, because the mean of its divisors is an integer number (16035624000).

Almost surely, 2205251405432 is an apocalyptic number.

It is an amenable number.

205251405432 is an abundant number, since it is smaller than the sum of its proper divisors (307888562568).

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

205251405432 is a wasteful number, since it uses less digits than its factorization.

205251405432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190915 (or 190911 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 205251405432 its reverse (234504152502), we get a palindrome (439755557934).

The spelling of 205251405432 in words is "two hundred five billion, two hundred fifty-one million, four hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71807 119099 143614 215421 238198 287228 357297 430842 476396 574456 714594 861684 952792 1429188 1723368 2858376 8552141893 17104283786 25656425679 34208567572 51312851358 68417135144 102625702716 205251405432