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505514905768 = 23194121978439
BaseRepresentation
bin1110101101100110000…
…10010101000010101000
31210022211012110221201201
413112303002111002220
531240243303441033
61024121430453544
751344062541665
oct7266302250250
91708735427651
10505514905768
11185429a92864
1281b7bb042b4
1338892880222
141a67783aa6c
15d239d9947d
hex75b30950a8

505514905768 has 48 divisors (see below), whose sum is σ = 1022655636000. Its totient is φ = 233613959040.

The previous prime is 505514905613. The next prime is 505514905789. The reversal of 505514905768 is 867509415505.

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, 733708 + ... + 1244731.

It is an arithmetic number, because the mean of its divisors is an integer number (21305325750).

Almost surely, 2505514905768 is an apocalyptic number.

It is an amenable number.

505514905768 is an abundant number, since it is smaller than the sum of its proper divisors (517140730232).

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

505514905768 is a wasteful number, since it uses less digits than its factorization.

505514905768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978546 (or 1978501 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 55.

The spelling of 505514905768 in words is "five hundred five billion, five hundred fourteen million, nine hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1558 1681 3116 3362 6232 6724 13448 31939 63878 127756 255512 1978439 3956878 7913756 15827512 37590341 75180682 81115999 150361364 162231998 300722728 324463996 648927992 1541203981 3082407962 3325755959 6164815924 6651511918 12329631848 13303023836 26606047672 63189363221 126378726442 252757452884 505514905768