Search a number
-
+
201255556560 = 2435838564819
BaseRepresentation
bin1011101101101111000…
…1000001010111010000
3201020110211211120022020
42323123301001113100
511244132410302220
6232242221011440
720353205001522
oct2733361012720
9636424746266
10201255556560
1178396573453
12330080b3b80
1315c94495c56
149a52b53a12
15537d7d6040
hex2edbc415d0

201255556560 has 40 divisors (see below), whose sum is σ = 623892226080. Its totient is φ = 53668148352.

The previous prime is 201255556553. The next prime is 201255556561. The reversal of 201255556560 is 65655552102.

201255556560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201255556561) 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 7 ways as a sum of consecutive naturals, for example, 419282170 + ... + 419282649.

It is an arithmetic number, because the mean of its divisors is an integer number (15597305652).

Almost surely, 2201255556560 is an apocalyptic number.

201255556560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201255556560 is an abundant number, since it is smaller than the sum of its proper divisors (422636669520).

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

201255556560 is a wasteful number, since it uses less digits than its factorization.

201255556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838564835 (or 838564829 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 201255556560 in words is "two hundred one billion, two hundred fifty-five million, five hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 838564819 1677129638 2515694457 3354259276 4192824095 5031388914 6708518552 8385648190 10062777828 12578472285 13417037104 16771296380 20125555656 25156944570 33542592760 40251111312 50313889140 67085185520 100627778280 201255556560