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55055506000 = 24531115116573
BaseRepresentation
bin110011010001100100…
…000101101001010000
312021002220122111002211
4303101210011221100
51400223202143000
641143034321504
73656220036205
oct632144055120
9167086574084
1055055506000
1121392441590
12a805b89294
135265263bb1
142943d1dcac
1516736127ba
hexcd1905a50

55055506000 has 160 divisors (see below), whose sum is σ = 146196999936. Its totient is φ = 19886400000.

The previous prime is 55055505997. The next prime is 55055506001. The reversal of 55055506000 is 60555055.

It is a super-2 number, since 2×550555060002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055506001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3313714 + ... + 3330286.

Almost surely, 255055506000 is an apocalyptic number.

55055506000 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 55055506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73098499968).

55055506000 is an abundant number, since it is smaller than the sum of its proper divisors (91141493936).

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

55055506000 is a wasteful number, since it uses less digits than its factorization.

55055506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The spelling of 55055506000 in words is "fifty-five billion, fifty-five million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 151 176 200 220 250 275 302 400 440 500 550 604 755 880 1000 1100 1208 1375 1510 1661 2000 2200 2416 2750 3020 3322 3775 4400 5500 6040 6644 7550 8305 11000 12080 13288 15100 16573 16610 18875 22000 26576 30200 33146 33220 37750 41525 60400 66292 66440 75500 82865 83050 132584 132880 151000 165730 166100 182303 207625 265168 302000 331460 332200 364606 414325 415250 662920 664400 729212 828650 830500 911515 1325840 1458424 1657300 1661000 1823030 2071625 2502523 2916848 3314600 3322000 3646060 4143250 4557575 5005046 6629200 7292120 8286500 9115150 10010092 12512615 14584240 16573000 18230300 20020184 22787875 25025230 27527753 33146000 36460600 40040368 45575750 50050460 55055506 62563075 72921200 91151500 100100920 110111012 125126150 137638765 182303000 200201840 220222024 250252300 275277530 312815375 364606000 440444048 500504600 550555060 625630750 688193825 1001009200 1101110120 1251261500 1376387650 2202220240 2502523000 2752775300 3440969125 5005046000 5505550600 6881938250 11011101200 13763876500 27527753000 55055506000