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61604225055516 = 2231113295329697867
BaseRepresentation
bin11100000000111010110011…
…11100110111101100011100
322002010022021100212001112010
432000131121330313230130
531033310423103234031
6335004331300511220
715655521061056543
oct1600353174675434
9262108240761463
1061604225055516
11186a1229030310
126aab38a3ab510
13284b33ac13780
14112d9361dd15a
1571c702065246
hex380759f37b1c

61604225055516 has 384 divisors, whose sum is σ = 178075071820800. Its totient is φ = 16316253757440.

The previous prime is 61604225055511. The next prime is 61604225055521. The reversal of 61604225055516 is 61555052240616.

It is an interprime number because it is at equal distance from previous prime (61604225055511) and next prime (61604225055521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61604225055511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7830709815 + ... + 7830717681.

It is an arithmetic number, because the mean of its divisors is an integer number (463737166200).

Almost surely, 261604225055516 is an apocalyptic number.

61604225055516 is a gapful number since it is divisible by the number (66) 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 61604225055516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89037535910400).

61604225055516 is an abundant number, since it is smaller than the sum of its proper divisors (116470846765284).

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

61604225055516 is a wasteful number, since it uses less digits than its factorization.

61604225055516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10947 counting only the distinct ones).

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

The spelling of 61604225055516 in words is "sixty-one trillion, six hundred four billion, two hundred twenty-five million, fifty-five thousand, five hundred sixteen".