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2216955559936 = 2141319135441
BaseRepresentation
bin100000010000101100110…
…110010100000000000000
321211221100110000020001211
4200100230312110000000
5242310311110404221
64414242203335504
7316112140223305
oct40205466240000
97757313006054
102216955559936
11785229688137
122b97b1b21594
1313109a5b7140
14794307a30ac
153ca04c9b6e1
hex2042cd94000

2216955559936 has 120 divisors (see below), whose sum is σ = 4778209503144. Its totient is φ = 1022487429120.

The previous prime is 2216955559913. The next prime is 2216955559939. The reversal of 2216955559936 is 6399555596122.

It can be written as a sum of positive squares in 4 ways, for example, as 555537678336 + 1661417881600 = 745344^2 + 1288960^2 .

It is a super-2 number, since 2×22169555599362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216955559939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407450976 + ... + 407456416.

Almost surely, 22216955559936 is an apocalyptic number.

2216955559936 is a gapful number since it is divisible by the number (26) 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 2216955559936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389104751572).

2216955559936 is an abundant number, since it is smaller than the sum of its proper divisors (2561253943208).

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

2216955559936 is an equidigital number, since it uses as much as digits as its factorization.

2216955559936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7369 counting only the distinct ones).

The product of its digits is 196830000, while the sum is 67.

The spelling of 2216955559936 in words is "two trillion, two hundred sixteen billion, nine hundred fifty-five million, five hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 1913 2048 3328 3826 4096 5441 6656 7652 8192 10882 13312 15304 16384 21764 24869 26624 30608 43528 49738 53248 61216 70733 87056 99476 106496 122432 141466 174112 198952 212992 244864 282932 348224 397904 489728 565864 696448 795808 979456 1131728 1392896 1591616 1958912 2263456 2785792 3183232 3917824 4526912 5571584 6366464 7835648 9053824 10408633 11143168 12732928 15671296 18107648 20817266 22286336 25465856 31342592 36215296 41634532 44572672 50931712 72430592 83269064 89145344 101863424 135312229 144861184 166538128 203726848 270624458 289722368 333076256 407453696 541248916 579444736 666152512 1082497832 1158889472 1332305024 2164995664 2664610048 4329991328 5329220096 8659982656 10658440192 17319965312 21316880384 34639930624 42633760768 69279861248 85267521536 138559722496 170535043072 277119444992 554238889984 1108477779968 2216955559936