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55252780000 = 255411251149
BaseRepresentation
bin110011011101010100…
…101000001111100000
312021121122212001011021
4303131110220033200
51401124202430000
641214402455224
73664133611105
oct633524501740
9167548761137
1055252780000
1121483832450
12a860064514
1352970a5482
1429621d2aac
151685ace11a
hexcdd5283e0

55252780000 has 120 divisors (see below), whose sum is σ = 148288001400. Its totient is φ = 20091840000.

The previous prime is 55252779997. The next prime is 55252780003. The reversal of 55252780000 is 8725255.

It is an interprime number because it is at equal distance from previous prime (55252779997) and next prime (55252780003).

It is a super-3 number, since 3×552527800003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55252780003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94426 + ... + 345574.

It is an arithmetic number, because the mean of its divisors is an integer number (1235733345).

Almost surely, 255252780000 is an apocalyptic number.

55252780000 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 55252780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74144000700).

55252780000 is an abundant number, since it is smaller than the sum of its proper divisors (93035221400).

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

55252780000 is a wasteful number, since it uses less digits than its factorization.

55252780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251190 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The spelling of 55252780000 in words is "fifty-five billion, two hundred fifty-two million, seven hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 251149 502298 1004596 1255745 2009192 2511490 2762639 4018384 5022980 5525278 6278725 8036768 10045960 11050556 12557450 13813195 20091920 22101112 25114900 27626390 31393625 40183840 44202224 50229800 55252780 62787250 69065975 88404448 100459600 110505560 125574500 138131950 156968125 200919200 221011120 251149000 276263900 313936250 345329875 442022240 502298000 552527800 627872500 690659750 1004596000 1105055600 1255745000 1381319500 1726649375 2210111200 2511490000 2762639000 3453298750 5022980000 5525278000 6906597500 11050556000 13813195000 27626390000 55252780000