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505345153040 = 24571369415543
BaseRepresentation
bin1110101101010001110…
…10110001100000010000
31210022101101001121202122
413112220322301200100
531234421324344130
61024052524233412
751336631633040
oct7265072614020
91708341047678
10505345153040
1118535218a052
1281b3309b868
1338866656620
141a65d08d720
15d22a0172e5
hex75a8eb1810

505345153040 has 80 divisors (see below), whose sum is σ = 1446064612608. Its totient is φ = 159933408768.

The previous prime is 505345153013. The next prime is 505345153087. The reversal of 505345153040 is 40351543505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 34700492 + ... + 34715051.

Almost surely, 2505345153040 is an apocalyptic number.

It is an amenable number.

505345153040 is an abundant number, since it is smaller than the sum of its proper divisors (940719459568).

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

505345153040 is a wasteful number, since it uses less digits than its factorization.

505345153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69415576 (or 69415570 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 505345153040 its reverse (40351543505), we get a palindrome (545696696545).

The spelling of 505345153040 in words is "five hundred five billion, three hundred forty-five million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 69415543 138831086 277662172 347077715 485908801 555324344 694155430 902402059 971817602 1110648688 1388310860 1804804118 1943635204 2429544005 2776621720 3609608236 3887270408 4512010295 4859088010 5553243440 6316814413 7219216472 7774540816 9024020590 9718176020 12633628826 14438432944 18048041180 19436352040 25267257652 31584072065 36096082360 38872704080 50534515304 63168144130 72192164720 101069030608 126336288260 252672576520 505345153040