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1220637044418 = 23113503303871
BaseRepresentation
bin10001110000110011101…
…000110010111011000010
311022200200021221120212220
4101300303220302323002
5124444331040410133
62332430344031510
7154121344454211
oct21606350627302
94280607846786
101220637044418
1143073a876000
12178698a62596
138b14ac5b6ac
144311727b078
1521b418405b3
hex11c33a32ec2

1220637044418 has 64 divisors (see below), whose sum is σ = 2690565341184. Its totient is φ = 369153430800.

The previous prime is 1220637044401. The next prime is 1220637044441. The reversal of 1220637044418 is 8144407360221.

It is a super-3 number, since 3×12206370444183 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220637044418.

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 31 ways as a sum of consecutive naturals, for example, 3865023 + ... + 4168893.

It is an arithmetic number, because the mean of its divisors is an integer number (42040083456).

Almost surely, 21220637044418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220637044418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345282670592).

1220637044418 is an abundant number, since it is smaller than the sum of its proper divisors (1469928296766).

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

1220637044418 is a wasteful number, since it uses less digits than its factorization.

1220637044418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304412 (or 304390 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 1220637044418 in words is "one trillion, two hundred twenty billion, six hundred thirty-seven million, forty-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 503 726 1006 1331 1509 2662 3018 3993 5533 7986 11066 16599 33198 60863 121726 182589 303871 365178 607742 669493 911613 1338986 1823226 2008479 3342581 4016958 6685162 10027743 20055486 36768391 73536782 110305173 152847113 220610346 305694226 404452301 458541339 808904602 917082678 1213356903 1681318243 2426713806 3362636486 5043954729 10087909458 18494500673 36989001346 55483502019 110967004038 203439507403 406879014806 610318522209 1220637044418