Search a number
-
+
43205506561 = 753887131293
BaseRepresentation
bin101000001111001111…
…111011011000000001
311010112001210010211201
4220033033323120001
51201441102202221
631503123541201
73056446513660
oct501717733001
9133461703751
1043205506561
1117361422618
12845952a801
1340c71cb5c9
14213c1cadd7
1511cd121891
hexa0f3fb601

43205506561 has 16 divisors (see below), whose sum is σ = 50366479104. Its totient is φ = 36293310144.

The previous prime is 43205506523. The next prime is 43205506571. The reversal of 43205506561 is 16560550234.

43205506561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 43205506561 - 215 = 43205473793 is a prime.

It is a super-2 number, since 2×432055065612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43205506561.

It is not an unprimeable number, because it can be changed into a prime (43205506501) 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, 263431 + ... + 394723.

It is an arithmetic number, because the mean of its divisors is an integer number (3147904944).

Almost surely, 243205506561 is an apocalyptic number.

It is an amenable number.

43205506561 is a deficient number, since it is larger than the sum of its proper divisors (7160972543).

43205506561 is a wasteful number, since it uses less digits than its factorization.

43205506561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132240.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 43205506561 in words is "forty-three billion, two hundred five million, five hundred six thousand, five hundred sixty-one".

Divisors: 1 7 53 371 887 6209 47011 131293 329077 919051 6958529 48709703 116456891 815198237 6172215223 43205506561