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220104533056616 = 231319321929500057
BaseRepresentation
bin110010000010111100010100…
…100000011001110001101000
31001212022210021100111001010122
4302002330110200121301220
5212322143040430302431
62100042343201502412
764235012341554425
oct6202742440316150
91055283240431118
10220104533056616
116414a898884a6a
1220829896941a08
1395a79cb261170
143c4d18ad74d4c
151a6a6560cca7b
hexc82f14819c68

220104533056616 has 64 divisors (see below), whose sum is σ = 446765918835600. Its totient is φ = 101055540953088.

The previous prime is 220104533056547. The next prime is 220104533056651. The reversal of 220104533056616 is 616650335401022.

It can be written as a sum of positive squares in 8 ways, for example, as 86762779139716 + 133341753916900 = 9314654^2 + 11547370^2 .

It is a super-2 number, since 2×2201045330566162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439908860 + ... + 440408916.

Almost surely, 2220104533056616 is an apocalyptic number.

220104533056616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220104533056616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223382959417800).

220104533056616 is an abundant number, since it is smaller than the sum of its proper divisors (226661385778984).

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

220104533056616 is a wasteful number, since it uses less digits than its factorization.

220104533056616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522198 (or 522194 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

Adding to 220104533056616 its reverse (616650335401022), we get a palindrome (836754868457638).

The spelling of 220104533056616 in words is "two hundred twenty trillion, one hundred four billion, five hundred thirty-three million, fifty-six thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1544 2509 5018 10036 20072 21929 43858 87716 175432 285077 500057 570154 1000114 1140308 2000228 2280616 4000456 4232297 6500741 8464594 13001482 16929188 26002964 33858376 52005928 55019861 96511001 110039722 193022002 220079444 386044004 440158888 772088008 1254643013 2509286026 5018572052 10037144104 10965749953 21931499906 43862999812 87725999624 142554749389 285109498778 570218997556 1140437995112 2116389740929 4232779481858 8465558963716 16931117927432 27513066632077 55026133264154 110052266528308 220104533056616