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55057760600 = 23521731152069
BaseRepresentation
bin110011010001101100…
…101100000101011000
312021010001220000211112
4303101230230011120
51400224241314400
641143154515452
73656245146323
oct632154540530
9167101800745
1055057760600
1121393741497
12a806895b88
13526587318b
1429443497ba
15167390a835
hexcd1b2c158

55057760600 has 96 divisors (see below), whose sum is σ = 135977680800. Its totient is φ = 20660582400.

The previous prime is 55057760567. The next prime is 55057760609. The reversal of 55057760600 is 606775055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55057760609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031366 + ... + 1083434.

It is an arithmetic number, because the mean of its divisors is an integer number (1416434175).

Almost surely, 255057760600 is an apocalyptic number.

55057760600 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 55057760600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988840400).

55057760600 is an abundant number, since it is smaller than the sum of its proper divisors (80919920200).

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

55057760600 is a wasteful number, since it uses less digits than its factorization.

55057760600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52413 (or 52404 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The spelling of 55057760600 in words is "fifty-five billion, fifty-seven million, seven hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 311 340 425 622 680 850 1244 1555 1700 2488 3110 3400 5287 6220 7775 10574 12440 15550 21148 26435 31100 42296 52069 52870 62200 104138 105740 132175 208276 211480 260345 264350 416552 520690 528700 885173 1041380 1057400 1301725 1770346 2082760 2603450 3540692 4425865 5206900 7081384 8851730 10413800 16193459 17703460 22129325 32386918 35406920 44258650 64773836 80967295 88517300 129547672 161934590 177034600 275288803 323869180 404836475 550577606 647738360 809672950 1101155212 1376444015 1619345900 2202310424 2752888030 3238691800 5505776060 6882220075 11011552120 13764440150 27528880300 55057760600