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42655656100 = 22525328328439
BaseRepresentation
bin100111101110011110…
…011010100010100100
311002002202010211210211
4213232132122202210
51144324321443400
631332402425204
73040022044261
oct475636324244
9132082124724
1042655656100
11170aa007852
128325362204
13403a3111c5
1420c917a268
151199c0cdba
hex9ee79a8a4

42655656100 has 72 divisors (see below), whose sum is σ = 94645817280. Its totient is φ = 16680593280.

The previous prime is 42655656083. The next prime is 42655656101. The reversal of 42655656100 is 165655624.

It is not an unprimeable number, because it can be changed into a prime (42655656101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485681 + ... + 1514119.

It is an arithmetic number, because the mean of its divisors is an integer number (1314525240).

Almost surely, 242655656100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42655656100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47322908640).

42655656100 is an abundant number, since it is smaller than the sum of its proper divisors (51990161180).

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

42655656100 is a wasteful number, since it uses less digits than its factorization.

42655656100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28789 (or 28782 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 42655656100 in words is "forty-two billion, six hundred fifty-five million, six hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 283 530 566 1060 1132 1325 1415 2650 2830 5300 5660 7075 14150 14999 28300 28439 29998 56878 59996 74995 113756 142195 149990 284390 299980 374975 568780 710975 749950 1421950 1499900 1507267 2843900 3014534 6029068 7536335 8048237 15072670 16096474 30145340 32192948 37681675 40241185 75363350 80482370 150726700 160964740 201205925 402411850 426556561 804823700 853113122 1706226244 2132782805 4265565610 8531131220 10663914025 21327828050 42655656100