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426888903168 = 29327213145433
BaseRepresentation
bin1100011011001001000…
…11111011101000000000
31111210212121210011211100
412031210203323220000
523443232024400133
6524035434414400
742561463543500
oct6154443735000
91453777704740
10426888903168
11155051725322
126a898291400
13313422c1530
1416939365a00
15b187335e13
hex63648fba00

426888903168 has 360 divisors, whose sum is σ = 1543433159268. Its totient is φ = 112585310208.

The previous prime is 426888903163. The next prime is 426888903191. The reversal of 426888903168 is 861309888624.

It can be written as a sum of positive squares in 2 ways, for example, as 364564779264 + 62324123904 = 603792^2 + 249648^2 .

It is a super-3 number, since 3×4268889031683 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (426888903163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2862580 + ... + 3008012.

Almost surely, 2426888903168 is an apocalyptic number.

426888903168 is a gapful number since it is divisible by the number (48) 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 426888903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771716579634).

426888903168 is an abundant number, since it is smaller than the sum of its proper divisors (1116544256100).

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

426888903168 is a wasteful number, since it uses less digits than its factorization.

426888903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145484 (or 145458 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

It can be divided in two parts, 426888 and 903168, that multiplied together give a square (385551581184 = 6209282).

The spelling of 426888903168 in words is "four hundred twenty-six billion, eight hundred eighty-eight million, nine hundred three thousand, one hundred sixty-eight".