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1628729786880 = 29335723146359
BaseRepresentation
bin10111101100110111110…
…111000100001000000000
312202201000222102212112000
4113230313313010020000
5203141114311140010
63244121135504000
7225446304522450
oct27546767041000
95681028385460
101628729786880
1157881655a609
122237aa388000
13ba7860b2131
1458b8c169d60
152c5789537c0
hex17b37dc4200

1628729786880 has 640 divisors, whose sum is σ = 6899386982400. Its totient is φ = 356092526592.

The previous prime is 1628729786867. The next prime is 1628729786899. The reversal of 1628729786880 is 886879278261.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1628729786799 and 1628729786808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11055141 + ... + 11201499.

It is an arithmetic number, because the mean of its divisors is an integer number (10780292160).

Almost surely, 21628729786880 is an apocalyptic number.

1628729786880 is a gapful number since it is divisible by the number (10) 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 1628729786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449693491200).

1628729786880 is an abundant number, since it is smaller than the sum of its proper divisors (5270657195520).

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

1628729786880 is a wasteful number, since it uses less digits than its factorization.

1628729786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146421 (or 146399 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 1628729786880 in words is "one trillion, six hundred twenty-eight billion, seven hundred twenty-nine million, seven hundred eighty-six thousand, eight hundred eighty".