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55084232400 = 24352274116747
BaseRepresentation
bin110011010011010001…
…101010111011010000
312021011220200221022120
4303103101222323100
51400303030414100
641145542134240
73660016151511
oct632321527320
9167156627276
1055084232400
11213a768210a
12a813721380
13526b1b1272
142947a7aa08
151675dd90a0
hexcd346aed0

55084232400 has 120 divisors (see below), whose sum is σ = 176528073504. Its totient is φ = 14682892800.

The previous prime is 55084232387. The next prime is 55084232417. The reversal of 55084232400 is 423248055.

55084232400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280827 + ... + 3297573.

Almost surely, 255084232400 is an apocalyptic number.

55084232400 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 55084232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88264036752).

55084232400 is an abundant number, since it is smaller than the sum of its proper divisors (121443841104).

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

55084232400 is a wasteful number, since it uses less digits than its factorization.

55084232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509 (or 19498 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 55084232400 in words is "fifty-five billion, eighty-four million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2741 5482 8223 10964 13705 16446 16747 21928 27410 32892 33494 41115 43856 50241 54820 65784 66988 68525 82230 83735 100482 109640 131568 133976 137050 164460 167470 200964 205575 219280 251205 267952 274100 328920 334940 401928 411150 418675 502410 548200 657840 669880 803856 822300 837350 1004820 1096400 1256025 1339760 1644600 1674700 2009640 2512050 3289200 3349400 4019280 5024100 6698800 10048200 20096400 45903527 91807054 137710581 183614108 229517635 275421162 367228216 459035270 550842324 688552905 734456432 918070540 1101684648 1147588175 1377105810 1836141080 2203369296 2295176350 2754211620 3442764525 3672282160 4590352700 5508423240 6885529050 9180705400 11016846480 13771058100 18361410800 27542116200 55084232400