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490726674000 = 2434533029177
BaseRepresentation
bin1110010010000011001…
…01101100111001010000
31201220122120210221110000
413021001211230321100
531020002012032000
61013234155410000
750311443622443
oct7110145547120
91656576727400
10490726674000
1117a130461412
127b133453900
1337376b7bb24
1419a737bd65a
15cb71966000
hex724196ce50

490726674000 has 200 divisors, whose sum is σ = 1772541681768. Its totient is φ = 130860403200.

The previous prime is 490726673999. The next prime is 490726674007. The reversal of 490726674000 is 476627094.

It can be written as a sum of positive squares in 4 ways, for example, as 126943989264 + 363782684736 = 356292^2 + 603144^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×4907266740003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490726674007) 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 39 ways as a sum of consecutive naturals, for example, 1352589 + ... + 1676588.

Almost surely, 2490726674000 is an apocalyptic number.

490726674000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490726674000 is an abundant number, since it is smaller than the sum of its proper divisors (1281815007768).

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

490726674000 is a wasteful number, since it uses less digits than its factorization.

490726674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029212 (or 3029187 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 490726674000 in words is "four hundred ninety billion, seven hundred twenty-six million, six hundred seventy-four thousand".