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55805555200 = 295231140639
BaseRepresentation
bin110011111110010001…
…010011001000000000
312100001011222221011211
4303332101103020000
51403242210231300
641345310415504
74013625251443
oct637621231000
9170034887154
1055805555200
112173786565a
12a995201594
135354777ba5
1429b57a565a
1516b93be4ba
hexcfe453200

55805555200 has 120 divisors (see below), whose sum is σ = 142723722240. Its totient is φ = 21601996800.

The previous prime is 55805555171. The next prime is 55805555261. The reversal of 55805555200 is 255550855.

It is a super-2 number, since 2×558055552002 (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326481 + ... + 467119.

It is an arithmetic number, because the mean of its divisors is an integer number (1189364352).

Almost surely, 255805555200 is an apocalyptic number.

55805555200 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 55805555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71361861120).

55805555200 is an abundant number, since it is smaller than the sum of its proper divisors (86918167040).

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

55805555200 is a wasteful number, since it uses less digits than its factorization.

55805555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140698 (or 140677 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 40.

The spelling of 55805555200 in words is "fifty-five billion, eight hundred five million, five hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 512 620 640 775 800 992 1240 1280 1550 1600 1984 2480 2560 3100 3200 3968 4960 6200 6400 7936 9920 12400 12800 15872 19840 24800 39680 49600 79360 99200 140639 198400 281278 396800 562556 703195 1125112 1406390 2250224 2812780 3515975 4359809 4500448 5625560 7031950 8719618 9000896 11251120 14063900 17439236 18001792 21799045 22502240 28127800 34878472 36003584 43598090 45004480 56255600 69756944 72007168 87196180 90008960 108995225 112511200 139513888 174392360 180017920 217990450 225022400 279027776 348784720 360035840 435980900 450044800 558055552 697569440 871961800 900089600 1116111104 1395138880 1743923600 1800179200 2232222208 2790277760 3487847200 5580555520 6975694400 11161111040 13951388800 27902777600 55805555200