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505545012350 = 25272530938867
BaseRepresentation
bin1110101101101001101…
…01001011010001111110
31210022220022010112012022
413112310311023101332
531240324010343400
61024124424040142
751344606463200
oct7266465132176
91708808115168
10505545012350
11185444a86334
1281b8a003052
1338898b91881
141a67b836770
15d23c844b85
hex75b4d4b47e

505545012350 has 72 divisors (see below), whose sum is σ = 1094068513080. Its totient is φ = 173292611520.

The previous prime is 505545012341. The next prime is 505545012359. The reversal of 505545012350 is 53210545505.

It is an interprime number because it is at equal distance from previous prime (505545012341) and next prime (505545012359).

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

It is a self number, because there is not a number n which added to its sum of digits gives 505545012350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505545012359) 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 35 ways as a sum of consecutive naturals, for example, 12987617 + ... + 13026483.

It is an arithmetic number, because the mean of its divisors is an integer number (15195396015).

Almost surely, 2505545012350 is an apocalyptic number.

505545012350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505545012350 is an abundant number, since it is smaller than the sum of its proper divisors (588523500730).

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

505545012350 is a wasteful number, since it uses less digits than its factorization.

505545012350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44202 (or 44190 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

Adding to 505545012350 its reverse (53210545505), we get a palindrome (558755557855).

The spelling of 505545012350 in words is "five hundred five billion, five hundred forty-five million, twelve thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 5309 10618 26545 37163 38867 53090 74326 77734 132725 185815 194335 260141 265450 272069 371630 388670 520282 544138 929075 971675 1300705 1360345 1858150 1904483 1943350 2601410 2720690 3808966 6503525 6801725 9522415 13007050 13603450 19044830 47612075 95224150 206344903 412689806 1031724515 1444414321 2063449030 2888828642 5158622575 7222071605 10110900247 10317245150 14444143210 20221800494 36110358025 50554501235 72220716050 101109002470 252772506175 505545012350