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505532404116 = 223215192997131
BaseRepresentation
bin1110101101101000001…
…01000101000110010100
31210022212102101221221200
413112310011011012110
531240312243412431
61024123253512500
751344364351405
oct7266405050624
91708772357850
10505532404116
11185438954603
1281b85942730
1338896398a8c
141a679cb39ac
15d23b6a3ee6
hex75b4145194

505532404116 has 36 divisors (see below), whose sum is σ = 1286336329824. Its totient is φ = 167394834000.

The previous prime is 505532404099. The next prime is 505532404129. The reversal of 505532404116 is 611404235505.

505532404116 is a `hidden beast` number, since 5 + 0 + 5 + 532 + 4 + 0 + 4 + 116 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5055324041162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46493130 + ... + 46504001.

Almost surely, 2505532404116 is an apocalyptic number.

It is an amenable number.

505532404116 is an abundant number, since it is smaller than the sum of its proper divisors (780803925708).

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

505532404116 is a wasteful number, since it uses less digits than its factorization.

505532404116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92997292 (or 92997287 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 505532404116 in words is "five hundred five billion, five hundred thirty-two million, four hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 92997131 185994262 278991393 371988524 557982786 836974179 1115965572 1673948358 3347896716 14042566781 28085133562 42127700343 56170267124 84255400686 126383101029 168510801372 252766202058 505532404116