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505416046112 = 25471033262601
BaseRepresentation
bin1110101101011010010…
…01001101011000100000
31210022120022110100202222
413112231021031120200
531240043001433422
61024103535530212
751341452336265
oct7265511153040
91708508410688
10505416046112
1118538920006a
1281b52989968
13388782487a3
141a66866526c
15d23136c842
hex75ad24d620

505416046112 has 48 divisors (see below), whose sum is σ = 1026075278592. Its totient is φ = 244929907200.

The previous prime is 505416046103. The next prime is 505416046141. The reversal of 505416046112 is 211640614505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476389 + ... + 1786212.

It is an arithmetic number, because the mean of its divisors is an integer number (21376568304).

Almost surely, 2505416046112 is an apocalyptic number.

It is an amenable number.

505416046112 is an abundant number, since it is smaller than the sum of its proper divisors (520659232480).

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

505416046112 is a wasteful number, since it uses less digits than its factorization.

505416046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262761 (or 3262753 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 505416046112 in words is "five hundred five billion, four hundred sixteen million, forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 103 188 206 376 412 752 824 1504 1648 3296 4841 9682 19364 38728 77456 154912 3262601 6525202 13050404 26100808 52201616 104403232 153342247 306684494 336047903 613368988 672095806 1226737976 1344191612 2453475952 2688383224 4906951904 5376766448 10753532896 15794251441 31588502882 63177005764 126354011528 252708023056 505416046112