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505431546342 = 23617631721613
BaseRepresentation
bin1110101101011100001…
…00010101100111100110
31210022121101121212002120
413112232010111213212
531240110433440332
61024105252050410
751342031154412
oct7265604254746
91708541555076
10505431546342
11185396a27678
1281b58003a06
133887b514a18
141a66a73bd42
15d2328d032c
hex75ae1159e6

505431546342 has 32 divisors (see below), whose sum is σ = 1012708580832. Its totient is φ = 168169714944.

The previous prime is 505431546317. The next prime is 505431546343. The reversal of 505431546342 is 243645134505.

It is a super-2 number, since 2×5054315463422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505431546294 and 505431546303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505431546343) 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, 23374728 + ... + 23396340.

It is an arithmetic number, because the mean of its divisors is an integer number (31647143151).

Almost surely, 2505431546342 is an apocalyptic number.

505431546342 is an abundant number, since it is smaller than the sum of its proper divisors (507277034490).

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

505431546342 is a wasteful number, since it uses less digits than its factorization.

505431546342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28552.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 505431546342 in words is "five hundred five billion, four hundred thirty-one million, five hundred forty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 617 1234 1851 3702 6317 12634 18951 21613 37902 43226 64839 129678 3897589 7795178 11692767 13335221 23385534 26670442 40005663 80011326 136529321 273058642 409587963 819175926 84238591057 168477182114 252715773171 505431546342