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406322282052 = 223211286730057
BaseRepresentation
bin1011110100110101011…
…00011111111001000100
31102211210022001120112100
411322122230133321010
523124122001011202
6510354544352100
741233021261131
oct5723254377104
91384708046470
10406322282052
11147358376495
12668b8615630
132c415406c3b
1415947b05588
15a88199241c
hex5e9ab1fe44

406322282052 has 18 divisors (see below), whose sum is σ = 1027092435278. Its totient is φ = 135440760672.

The previous prime is 406322281993. The next prime is 406322282077. The reversal of 406322282052 is 250282223604.

406322282052 is a `hidden beast` number, since 4 + 0 + 6 + 322 + 282 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397588258116 + 8734023936 = 630546^2 + 93456^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11286730057 = 406322282052 / (4 + 0 + 6 + 3 + 2 + 2 + 2 + 8 + 2 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 406322281998 and 406322282016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5643364993 + ... + 5643365064.

Almost surely, 2406322282052 is an apocalyptic number.

It is an amenable number.

406322282052 is an abundant number, since it is smaller than the sum of its proper divisors (620770153226).

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

406322282052 is a wasteful number, since it uses less digits than its factorization.

406322282052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286730067 (or 11286730062 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 406322282052 in words is "four hundred six billion, three hundred twenty-two million, two hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11286730057 22573460114 33860190171 45146920228 67720380342 101580570513 135440760684 203161141026 406322282052