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505354454031 = 37414191400809
BaseRepresentation
bin1110101101010010111…
…10010000010000001111
31210022102000120011022210
413112221132100100033
531234431220012111
61024053455441503
751340103661450
oct7265136202017
91708360504283
10505354454031
11185357462019
1281b36226293
1338868561c7b
141a6603d1127
15d22ac530a6
hex75a979040f

505354454031 has 32 divisors (see below), whose sum is σ = 790729228800. Its totient is φ = 281058117120.

The previous prime is 505354454027. The next prime is 505354454039. The reversal of 505354454031 is 130454453505.

It is a happy number.

It is not a de Polignac number, because 505354454031 - 22 = 505354454027 is a prime.

It is a super-2 number, since 2×5053544540312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505354454039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339646 + ... + 1061163.

It is an arithmetic number, because the mean of its divisors is an integer number (24710288400).

Almost surely, 2505354454031 is an apocalyptic number.

505354454031 is a deficient number, since it is larger than the sum of its proper divisors (285374774769).

505354454031 is a wasteful number, since it uses less digits than its factorization.

505354454031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401279.

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 505354454031 in words is "five hundred five billion, three hundred fifty-four million, four hundred fifty-four thousand, thirty-one".

Divisors: 1 3 7 21 41 123 287 419 861 1257 2933 8799 17179 51537 120253 360759 1400809 4202427 9805663 29416989 57433169 172299507 402032183 586938971 1206096549 1760816913 4108572797 12325718391 24064497811 72193493433 168451484677 505354454031