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55970183200 = 255279938753
BaseRepresentation
bin110100001000000101…
…010011100000100000
312100110122202220100011
4310020011103200200
51404111331330300
641413511134304
74020664464451
oct641005234040
9170418686304
1055970183200
1121811789058
12aa20374394
13537c8c8cc9
1429cd5bb128
1516c8a8ceba
hexd08153820

55970183200 has 72 divisors (see below), whose sum is σ = 136669916628. Its totient is φ = 22382714880.

The previous prime is 55970183197. The next prime is 55970183201. The reversal of 55970183200 is 238107955.

It can be written as a sum of positive squares in 6 ways, for example, as 18453592336 + 37516590864 = 135844^2 + 193692^2 .

It is a super-2 number, since 2×559701832002 (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 not an unprimeable number, because it can be changed into a prime (55970183201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6390024 + ... + 6398776.

Almost surely, 255970183200 is an apocalyptic number.

55970183200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55970183200 is an abundant number, since it is smaller than the sum of its proper divisors (80699733428).

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

55970183200 is a wasteful number, since it uses less digits than its factorization.

55970183200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16766 (or 16753 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 55970183200 in words is "fifty-five billion, nine hundred seventy million, one hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 7993 8753 15986 17506 31972 35012 39965 43765 63944 70024 79930 87530 127888 140048 159860 175060 199825 218825 255776 280096 319720 350120 399650 437650 639440 700240 799300 875300 1278880 1400480 1598600 1750600 3197200 3501200 6394400 7002400 69962729 139925458 279850916 349813645 559701832 699627290 1119403664 1399254580 1749068225 2238807328 2798509160 3498136450 5597018320 6996272900 11194036640 13992545800 27985091600 55970183200