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1628940498261 = 32997811238009
BaseRepresentation
bin10111101101000100011…
…010110111010101010101
312202201120122221010012020
4113231010122313111111
5203142032231421021
63244154104043353
7225454443531366
oct27550432672525
95681518833166
101628940498261
1157891449914a
12223848a63559
13ba7ba949a1b
1458bac139b6d
152c58c1c67c6
hex17b446b7555

1628940498261 has 32 divisors (see below), whose sum is σ = 2272786051200. Its totient is φ = 1036420116480.

The previous prime is 1628940498223. The next prime is 1628940498277.

It is a happy number.

1628940498261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1628940498261 - 29 = 1628940497749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1628940498195 and 1628940498204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628940498221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6725025 + ... + 6963033.

It is an arithmetic number, because the mean of its divisors is an integer number (71024564100).

Almost surely, 21628940498261 is an apocalyptic number.

It is an amenable number.

1628940498261 is a deficient number, since it is larger than the sum of its proper divisors (643845552939).

1628940498261 is a wasteful number, since it uses less digits than its factorization.

1628940498261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238949.

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 1628940498261 in words is "one trillion, six hundred twenty-eight billion, nine hundred forty million, four hundred ninety-eight thousand, two hundred sixty-one".

Divisors: 1 3 29 87 97 291 811 2433 2813 8439 23519 70557 78667 236001 238009 714027 2281343 6844029 6902261 20706783 23086873 69260619 193025299 579075897 669519317 2008557951 5597733671 16793201013 18723454003 56170362009 542980166087 1628940498261