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68351616 = 273259333
BaseRepresentation
bin1000001001011…
…11011010000000
311202121121210100
410010233122000
5114444222431
610441002400
71456656564
oct404573200
9152547710
1068351616
1135645643
121aa83400
1311212458
1491136a4
1560024e6
hex412f680

68351616 has 48 divisors (see below), whose sum is σ = 196692210. Its totient is φ = 22783488.

The previous prime is 68351593. The next prime is 68351623. The reversal of 68351616 is 61615386.

It is a happy number.

68351616 is a `hidden beast` number, since 6 + 8 + 35 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 9000000 = 7704^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×683516162 = 9343886819622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28515 + ... + 30818.

Almost surely, 268351616 is an apocalyptic number.

It is an amenable number.

68351616 is an abundant number, since it is smaller than the sum of its proper divisors (128340594).

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

68351616 is a wasteful number, since it uses less digits than its factorization.

68351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59353 (or 59338 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 68351616 is about 8267.5036135462. The cubic root of 68351616 is about 408.8678183499.

The spelling of 68351616 in words is "sixty-eight million, three hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 59333 118666 177999 237332 355998 474664 533997 711996 949328 1067994 1423992 1898656 2135988 2847984 3797312 4271976 5695968 7594624 8543952 11391936 17087904 22783872 34175808 68351616