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505546045914 = 2371310343920477
BaseRepresentation
bin1110101101101001110…
…01000111100111011010
31210022220101002000222110
413112310321013213122
531240324241432124
61024124502133150
751344621326410
oct7266471074732
91708811060873
10505546045914
11185445621918
1281b8a4211b6
1338899164150
141a67ba252b0
15d23c99b029
hex75b4e479da

505546045914 has 128 divisors (see below), whose sum is σ = 1259426488320. Its totient is φ = 131729151744.

The previous prime is 505546045897. The next prime is 505546045919. The reversal of 505546045914 is 419540645505.

It is not an unprimeable number, because it can be changed into a prime (505546045919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24678244 + ... + 24698720.

It is an arithmetic number, because the mean of its divisors is an integer number (9839269440).

Almost surely, 2505546045914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505546045914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629713244160).

505546045914 is an abundant number, since it is smaller than the sum of its proper divisors (753880442406).

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

505546045914 is a wasteful number, since it uses less digits than its factorization.

505546045914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21044.

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 505546045914 in words is "five hundred five billion, five hundred forty-six million, forty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 182 206 273 309 439 546 618 721 878 1317 1339 1442 2163 2634 2678 3073 4017 4326 5707 6146 8034 9219 9373 11414 17121 18438 18746 20477 28119 34242 39949 40954 45217 56238 61431 79898 90434 119847 122862 135651 143339 239694 266201 271302 286678 316519 430017 532402 587821 633038 798603 860034 949557 1175642 1597206 1763463 1863407 1899114 2109131 3526926 3726814 4114747 4218262 5590221 6327393 8229494 8989403 11180442 12344241 12654786 14763917 17978806 24688482 26968209 27418703 29527834 44291751 53936418 54837406 62925821 82256109 88583502 116862239 125851642 164512218 188777463 191930921 233724478 350586717 377554926 383861842 575792763 701173434 818035673 925908509 1151585526 1636071346 1851817018 2454107019 2777725527 4908214038 5555451054 6481359563 12036810617 12962719126 19444078689 24073621234 36110431851 38888157378 72220863702 84257674319 168515348638 252773022957 505546045914