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55333221312 = 26312719711519
BaseRepresentation
bin110011100010000111…
…011111001111000000
312021211021012212220010
4303202013133033000
51401310301040222
641230354544520
73666131422635
oct634207371700
9167737185803
1055333221312
1121515185176
12a882b98140
1352aa95b695
14296cb7218c
15168cbbd80c
hexce21df3c0

55333221312 has 112 divisors (see below), whose sum is σ = 148317143040. Its totient is φ = 18204705792.

The previous prime is 55333221299. The next prime is 55333221347. The reversal of 55333221312 is 21312233355.

It is a happy number.

55333221312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55333221312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797889 + ... + 4809407.

Almost surely, 255333221312 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 55333221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74158571520).

55333221312 is an abundant number, since it is smaller than the sum of its proper divisors (92983921728).

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

55333221312 is a wasteful number, since it uses less digits than its factorization.

55333221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11858 (or 11848 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

Adding to 55333221312 its reverse (21312233355), we get a palindrome (76645454667).

The spelling of 55333221312 in words is "fifty-five billion, three hundred thirty-three million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 197 254 381 394 508 591 762 788 1016 1182 1524 1576 2032 2364 3048 3152 4064 4728 6096 6304 8128 9456 11519 12192 12608 18912 23038 24384 25019 34557 37824 46076 50038 69114 75057 92152 100076 138228 150114 184304 200152 276456 300228 368608 400304 552912 600456 737216 800608 1105824 1200912 1462913 1601216 2211648 2269243 2401824 2925826 4388739 4538486 4803648 5851652 6807729 8777478 9076972 11703304 13615458 17554956 18153944 23406608 27230916 35109912 36307888 46813216 54461832 70219824 72615776 93626432 108923664 140439648 145231552 217847328 280879296 288193861 435694656 576387722 864581583 1152775444 1729163166 2305550888 3458326332 4611101776 6916652664 9222203552 13833305328 18444407104 27666610656 55333221312