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104216813568 = 213387277
BaseRepresentation
bin110000100001111001…
…1100110000000000000
3100222000001022200000000
41201003303212000000
53201414001013233
6115513200000000
710346406204420
oct1410363460000
9328001280000
10104216813568
114021a74659a
1218246000000
139a9b3243ba
1450890d2480
152a9e53ad13
hex1843ce6000

104216813568 has 504 divisors, whose sum is σ = 358564629072. Its totient is φ = 29668737024.

The previous prime is 104216813557. The next prime is 104216813621. The reversal of 104216813568 is 865318612401.

104216813568 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 6 + 81 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1042168135682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376233846 + ... + 376234122.

Almost surely, 2104216813568 is an apocalyptic number.

104216813568 is a gapful number since it is divisible by the number (18) 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 104216813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179282314536).

104216813568 is an abundant number, since it is smaller than the sum of its proper divisors (254347815504).

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

104216813568 is an frugal number, since it uses more digits than its factorization.

104216813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 104216813568 in words is "one hundred four billion, two hundred sixteen million, eight hundred thirteen thousand, five hundred sixty-eight".