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472426434722430 = 234517472999243403
BaseRepresentation
bin110101101101010110101100…
…1110100101111101001111110
32021221201112012111220010220000
41223122231121310233221332
5443410213314242104210
64352433412531335130
7201336453313266156
oct15332553164575176
92257645174803800
10472426434722430
11127590a202a6141
1244b9b4a91514a6
131737b810978736
1484937c0859766
153993d68120ac0
hex1adab59d2fa7e

472426434722430 has 320 divisors, whose sum is σ = 1374107099904000. Its totient is φ = 116007838903296.

The previous prime is 472426434722377. The next prime is 472426434722467. The reversal of 472426434722430 is 34227434624274.

472426434722430 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 264 + 347 + 2 + 2 + 4 + 30 = 666.

It is a super-2 number, since 2×4724264347224302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1940801109 + ... + 1941044511.

It is an arithmetic number, because the mean of its divisors is an integer number (4294084687200).

Almost surely, 2472426434722430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472426434722430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687053549952000).

472426434722430 is an abundant number, since it is smaller than the sum of its proper divisors (901680665181570).

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

472426434722430 is a wasteful number, since it uses less digits than its factorization.

472426434722430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246485 (or 246476 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 54.

The spelling of 472426434722430 in words is "four hundred seventy-two trillion, four hundred twenty-six billion, four hundred thirty-four million, seven hundred twenty-two thousand, four hundred thirty".