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55334434000 = 2453117123627
BaseRepresentation
bin110011100010001100…
…000111010011010000
312021211100111111101111
4303202030013103100
51401311103342000
641230440543104
73666144633316
oct634214072320
9167740444344
1055334434000
112151593329a
12a883481a94
1352aac94651
14296cdaa0b6
15168cd5ccba
hexce23074d0

55334434000 has 80 divisors (see below), whose sum is σ = 133918589376. Its totient is φ = 22113936000.

The previous prime is 55334433949. The next prime is 55334434013. The reversal of 55334434000 is 43443355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×553344340002 (a number of 22 digits) contains 22 as substring.

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, 2330187 + ... + 2353813.

Almost surely, 255334434000 is an apocalyptic number.

55334434000 is a gapful number since it is divisible by the number (50) 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 55334434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66959294688).

55334434000 is an abundant number, since it is smaller than the sum of its proper divisors (78584155376).

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

55334434000 is a wasteful number, since it uses less digits than its factorization.

55334434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24821 (or 24805 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 31.

Adding to 55334434000 its reverse (43443355), we get a palindrome (55377877355).

The spelling of 55334434000 in words is "fifty-five billion, three hundred thirty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1171 2000 2342 4684 5855 9368 11710 18736 23420 23627 29275 46840 47254 58550 93680 94508 117100 118135 146375 189016 234200 236270 292750 378032 468400 472540 585500 590675 945080 1171000 1181350 1890160 2342000 2362700 2953375 4725400 5906750 9450800 11813500 23627000 27667217 47254000 55334434 110668868 138336085 221337736 276672170 442675472 553344340 691680425 1106688680 1383360850 2213377360 2766721700 3458402125 5533443400 6916804250 11066886800 13833608500 27667217000 55334434000