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426345173100 = 22325272113128351
BaseRepresentation
bin1100011010001000010…
…01110001000001101100
31111202110201122211101200
412031010021301001230
523441123331014400
6523505452405500
742542142114600
oct6150411610154
91452421584350
10426345173100
111548a280a930
126a766176890
1331286767b72
14168c7069500
15b154730b00
hex634427106c

426345173100 has 648 divisors, whose sum is σ = 1750623952896. Its totient is φ = 85730400000.

The previous prime is 426345173081. The next prime is 426345173153. The reversal of 426345173100 is 1371543624.

426345173100 is a `hidden beast` number, since 4 + 2 + 6 + 34 + 517 + 3 + 100 = 666.

It is a super-2 number, since 2×4263451731002 (a number of 24 digits) 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 215 ways as a sum of consecutive naturals, for example, 15023925 + ... + 15052275.

Almost surely, 2426345173100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426345173100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875311976448).

426345173100 is an abundant number, since it is smaller than the sum of its proper divisors (1324278779796).

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

426345173100 is a wasteful number, since it uses less digits than its factorization.

426345173100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28427 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 426345173100 in words is "four hundred twenty-six billion, three hundred forty-five million, one hundred seventy-three thousand, one hundred".