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3416019696 = 24337907453
BaseRepresentation
bin1100101110011100…
…0101001011110000
322211001211210002000
43023213011023300
523444000112241
61322545054000
7150436455045
oct31347051360
98731753060
103416019696
1114a3288181
127b4027300
1342594463b
1424597b1cc
1514ed6deb6
hexcb9c52f0

3416019696 has 40 divisors (see below), whose sum is σ = 9805242960. Its totient is φ = 1138673088.

The previous prime is 3416019689. The next prime is 3416019751. The reversal of 3416019696 is 6969106143.

3416019696 is a `hidden beast` number, since 34 + 1 + 601 + 9 + 6 + 9 + 6 = 666.

3416019696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3953295 + ... + 3954158.

It is an arithmetic number, because the mean of its divisors is an integer number (245131074).

Almost surely, 23416019696 is an apocalyptic number.

3416019696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3416019696 is an abundant number, since it is smaller than the sum of its proper divisors (6389223264).

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

3416019696 is a wasteful number, since it uses less digits than its factorization.

3416019696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907470 (or 7907458 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3416019696 is about 58446.7252803782. The cubic root of 3416019696 is about 1506.0525370158.

The spelling of 3416019696 in words is "three billion, four hundred sixteen million, nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 7907453 15814906 23722359 31629812 47444718 63259624 71167077 94889436 126519248 142334154 189778872 213501231 284668308 379557744 427002462 569336616 854004924 1138673232 1708009848 3416019696