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505051141431432 = 23361426180962283
BaseRepresentation
bin111001011010101110110000…
…1111000001110000010001000
32110020020102021102022200000210
41302311131201320032002020
51012144224214201301212
64550053142532401120
7211244512050625161
oct16265354170160210
92406212242280023
10505051141431432
11136a19a93755742
124878a3654761a0
13188a716cb2388b
148ca0869d78768
153d5c814cd153c
hex1cb5761e0e088

505051141431432 has 64 divisors (see below), whose sum is σ = 1283627866397760. Its totient is φ = 165551674233600.

The previous prime is 505051141431413. The next prime is 505051141431449. The reversal of 505051141431432 is 234134141150505.

It is a super-2 number, since 2×5050511414314322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34243038 + ... + 46719245.

It is an arithmetic number, because the mean of its divisors is an integer number (20056685412465).

Almost surely, 2505051141431432 is an apocalyptic number.

It is an amenable number.

505051141431432 is an abundant number, since it is smaller than the sum of its proper divisors (778576724966328).

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

505051141431432 is a wasteful number, since it uses less digits than its factorization.

505051141431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80966614 (or 80966610 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 505051141431432 its reverse (234134141150505), we get a palindrome (739185282581937).

The spelling of 505051141431432 in words is "five hundred five trillion, fifty-one billion, one hundred forty-one million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 4261 8522 12783 17044 25566 34088 51132 102264 259921 519842 779763 1039684 1559526 2079368 3119052 6238104 80962283 161924566 242886849 323849132 485773698 647698264 971547396 1943094792 4938699263 9877398526 14816097789 19754797052 29632195578 39509594104 59264391156 118528782312 344980287863 689960575726 1034940863589 1379921151452 2069881727178 2759842302904 4139763454356 8279526908712 21043797559643 42087595119286 63131392678929 84175190238572 126262785357858 168350380477144 252525570715716 505051141431432