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55508440000 = 265413106747
BaseRepresentation
bin110011101100100011…
…111001001111000000
312022021110220220202011
4303230203321033000
51402140130040000
641300014302304
74003356645406
oct635443711700
9168243826664
1055508440000
11215a5081602
12a9117b7994
13530804a190
142988143476
15169d2802ba
hexcec8f93c0

55508440000 has 140 divisors (see below), whose sum is σ = 148232194264. Its totient is φ = 20495232000.

The previous prime is 55508439991. The next prime is 55508440027. The reversal of 55508440000 is 4480555.

55508440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×555084400002 (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 19 ways as a sum of consecutive naturals, for example, 466627 + ... + 573373.

Almost surely, 255508440000 is an apocalyptic number.

55508440000 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 55508440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74116097132).

55508440000 is an abundant number, since it is smaller than the sum of its proper divisors (92723754264).

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

55508440000 is a wasteful number, since it uses less digits than its factorization.

55508440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106792 (or 106767 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 55508440000 in words is "fifty-five billion, five hundred eight million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 106747 130000 213494 260000 426988 520000 533735 853976 1067470 1387711 1707952 2134940 2668675 2775422 3415904 4269880 5337350 5550844 6831808 6938555 8539760 10674700 11101688 13343375 13877110 17079520 21349400 22203376 26686750 27754220 34159040 34692775 42698800 44406752 53373500 55508440 66716875 69385550 85397600 88813504 106747000 111016880 133433750 138771100 170795200 173463875 213494000 222033760 266867500 277542200 346927750 426988000 444067520 533735000 555084400 693855500 853976000 867319375 1067470000 1110168800 1387711000 1734638750 2134940000 2220337600 2775422000 3469277500 4269880000 5550844000 6938555000 11101688000 13877110000 27754220000 55508440000