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505410140641 = 71741610116979
BaseRepresentation
bin1110101101011001100…
…10101011100111100001
31210022112220100022222211
413112230302223213201
531240034444000031
61024103205202121
751341351212210
oct7265462534741
91708486308884
10505410140641
1118538593720a
1281b50a00341
1338876c5b823
141a667969077
15d230aa2bb1
hex75accab9e1

505410140641 has 32 divisors (see below), whose sum is σ = 626645134080. Its totient is φ = 397692672000.

The previous prime is 505410140611. The next prime is 505410140657. The reversal of 505410140641 is 146041014505.

It is a cyclic number.

It is not a de Polignac number, because 505410140641 - 27 = 505410140513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505410140611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29758290 + ... + 29775268.

It is an arithmetic number, because the mean of its divisors is an integer number (19582660440).

Almost surely, 2505410140641 is an apocalyptic number.

It is an amenable number.

505410140641 is a deficient number, since it is larger than the sum of its proper divisors (121234993439).

505410140641 is a wasteful number, since it uses less digits than its factorization.

505410140641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23145.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 505410140641 in words is "five hundred five billion, four hundred ten million, one hundred forty thousand, six hundred forty-one".

Divisors: 1 7 17 41 119 287 697 4879 6101 16979 42707 103717 118853 250141 288643 696139 726019 1750987 2020501 4252397 4872973 11834363 29766779 82840541 103588879 725122153 1761010943 4247144039 12327076601 29730008273 72201448663 505410140641