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1812270354916 = 2272292231429763
BaseRepresentation
bin11010010111110011101…
…110110001000111100100
320102020210020101210001011
4122113303232301013210
5214143012202324131
63504313455112004
7244634514564400
oct32276356610744
96366706353034
101812270354916
1163964140797a
12253291812604
13101b863c8248
1463a00284100
153221bdce0b1
hex1a5f3bb11e4

1812270354916 has 72 divisors (see below), whose sum is σ = 3833597617920. Its totient is φ = 746541649728.

The previous prime is 1812270354913. The next prime is 1812270354929. The reversal of 1812270354916 is 6194530722181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1812270354916.

It is not an unprimeable number, because it can be changed into a prime (1812270354913) 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 23 ways as a sum of consecutive naturals, for example, 552651 + ... + 1982413.

It is an arithmetic number, because the mean of its divisors is an integer number (53244411360).

It is a 1-persistent number, because it is pandigital, but 2⋅1812270354916 = 3624540709832 is not.

Almost surely, 21812270354916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1812270354916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916798808960).

1812270354916 is an abundant number, since it is smaller than the sum of its proper divisors (2021327263004).

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

1812270354916 is a wasteful number, since it uses less digits than its factorization.

1812270354916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430033 (or 1430024 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 1812270354916 in words is "one trillion, eight hundred twelve billion, two hundred seventy million, three hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 223 406 446 812 892 1421 1561 2842 3122 5684 6244 6467 10927 12934 21854 25868 43708 45269 90538 181076 316883 633766 1267532 1429763 2859526 5719052 10008341 20016682 40033364 41463127 70058387 82926254 140116774 165852508 280233548 290241889 318837149 580483778 637674298 1160967556 1275348596 2031693223 2231860043 4063386446 4463720086 8126772892 8927440172 9246277321 15623020301 18492554642 31246040602 36985109284 62492081204 64723941247 129447882494 258895764988 453067588729 906135177458 1812270354916