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55805654200 = 235212719111503
BaseRepresentation
bin110011111110010001…
…101011010010111000
312100001012011221222111
4303332101223102320
51403242221413300
641345312502104
74013626143202
oct637621532270
9170035157874
1055805654200
1121737922a7a
12a99524a934
1353547b0c7a
1429b57cd772
1516b93dd9ba
hexcfe46b4b8

55805654200 has 96 divisors (see below), whose sum is σ = 131465871360. Its totient is φ = 22028630400.

The previous prime is 55805654161. The next prime is 55805654207. The reversal of 55805654200 is 245650855.

It is a super-2 number, since 2×558056542002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55805654207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4845649 + ... + 4857151.

It is an arithmetic number, because the mean of its divisors is an integer number (1369436160).

Almost surely, 255805654200 is an apocalyptic number.

55805654200 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 55805654200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65732935680).

55805654200 is an abundant number, since it is smaller than the sum of its proper divisors (75660217160).

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

55805654200 is a wasteful number, since it uses less digits than its factorization.

55805654200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11837 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 55805654200 in words is "fifty-five billion, eight hundred five million, six hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 191 200 254 382 508 635 764 955 1016 1270 1528 1910 2540 3175 3820 4775 5080 6350 7640 9550 11503 12700 19100 23006 24257 25400 38200 46012 48514 57515 92024 97028 115030 121285 194056 230060 242570 287575 460120 485140 575150 606425 970280 1150300 1212850 1460881 2197073 2300600 2425700 2921762 4394146 4851400 5843524 7304405 8788292 10985365 11687048 14608810 17576584 21970730 29217620 36522025 43941460 54926825 58435240 73044050 87882920 109853650 146088100 219707300 279028271 292176200 439414600 558056542 1116113084 1395141355 2232226168 2790282710 5580565420 6975706775 11161130840 13951413550 27902827100 55805654200