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550226518632264 = 23361719613185259
BaseRepresentation
bin111110100011011011001100…
…0001100000110011101001000
32200011012010211010111200201010
41331012312120030012131020
51034104402402232213024
65230122323443323520
7223616361031243515
oct17506663014063510
92604163733450633
10550226518632264
1114a356835434a71
12518657039805a0
131a8031a44562c6
1499c3169a8230c
1543929c3b7eb29
hex1f46d98306748

550226518632264 has 128 divisors (see below), whose sum is σ = 1400305874688000. Its totient is φ = 180119733945600.

The previous prime is 550226518632253. The next prime is 550226518632347. The reversal of 550226518632264 is 462236815622055.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6453546067 + ... + 6453631325.

It is an arithmetic number, because the mean of its divisors is an integer number (10939889646000).

Almost surely, 2550226518632264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550226518632264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700152937344000).

550226518632264 is an abundant number, since it is smaller than the sum of its proper divisors (850079356055736).

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

550226518632264 is a wasteful number, since it uses less digits than its factorization.

550226518632264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92179 (or 92175 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 550226518632264 in words is "five hundred fifty trillion, two hundred twenty-six billion, five hundred eighteen million, six hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 719 732 1438 1464 2157 2876 4314 5752 6131 8628 12262 17256 18393 24524 36786 43859 49048 73572 85259 87718 131577 147144 170518 175436 255777 263154 341036 350872 373991 511554 526308 682072 747982 1023108 1052616 1121973 1495964 2046216 2243946 2991928 4408189 4487892 5200799 8816378 8975784 10401598 13224567 15602397 17632756 20803196 26449134 31204794 35265512 41606392 52898268 61301221 62409588 105796536 122602442 124819176 183903663 245204884 268899529 367807326 490409768 522722929 537799058 735614652 806698587 1045445858 1075598116 1471229304 1568168787 1613397174 2090891716 2151196232 3136337574 3226794348 3739374481 4181783432 6272675148 6453588696 7478748962 11218123443 12545350296 14957497924 22436246886 29914995848 31886098669 44872493772 63772197338 89744987544 95658296007 127544394676 191316592014 255088789352 375837785951 382633184028 751675571902 765266368056 1127513357853 1503351143804 2255026715706 3006702287608 4510053431412 9020106862824 22926104943011 45852209886022 68778314829033 91704419772044 137556629658066 183408839544088 275113259316132 550226518632264