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54542142225 = 32522911373973
BaseRepresentation
bin110010110010111101…
…110000101100010001
312012210010122220101200
4302302331300230101
51343200242022400
641020055221413
73640414362624
oct626275605421
9165703586350
1054542142225
11211496877aa
12a6a2077869
1351b2ab014c
1428d5a89dbb
151643509b00
hexcb2f70b11

54542142225 has 72 divisors (see below), whose sum is σ = 101955405240. Its totient is φ = 27837143040.

The previous prime is 54542142211. The next prime is 54542142289. The reversal of 54542142225 is 52224124545.

54542142225 is a `hidden beast` number, since 5 + 4 + 5 + 421 + 4 + 2 + 225 = 666.

54542142225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 24123991761 + 30418150464 = 155319^2 + 174408^2 .

It is not a de Polignac number, because 54542142225 - 210 = 54542141201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54542142225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700339 + ... + 774311.

It is an arithmetic number, because the mean of its divisors is an integer number (1416047295).

Almost surely, 254542142225 is an apocalyptic number.

It is an amenable number.

54542142225 is a deficient number, since it is larger than the sum of its proper divisors (47413263015).

54542142225 is a wasteful number, since it uses less digits than its factorization.

54542142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74131 (or 74123 counting only the distinct ones).

The product of its digits is 128000, while the sum is 36.

The spelling of 54542142225 in words is "fifty-four billion, five hundred forty-two million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 113 145 225 261 339 435 565 725 1017 1305 1695 2175 2825 3277 5085 6525 8475 9831 16385 25425 29493 49155 73973 81925 147465 221919 245775 369865 665757 737325 1109595 1849325 2145217 3328785 5547975 6435651 8358949 10726085 16643925 19306953 25076847 32178255 41794745 53630425 75230541 96534765 125384235 160891275 208973725 242409521 376152705 482673825 626921175 727228563 1212047605 1880763525 2181685689 3636142815 6060238025 10908428445 18180714075 54542142225