Search a number
-
+
72054455445027 = 3311242607594091
BaseRepresentation
bin10000011000100001111100…
…001110001010011000100011
3100110010100010212222211222000
4100120201330032022120203
533421020011043220102
6413125205421415043
721114522401545356
oct2030417416123043
9313110125884860
1072054455445027
1120a60139708830
1280b877740a483
1331289240b46a3
1413b165067429d
1584e47d5a501c
hex41887c38a623

72054455445027 has 16 divisors (see below), whose sum is σ = 116451645164160. Its totient is φ = 43669366936200.

The previous prime is 72054455444987. The next prime is 72054455445097.

72054455445027 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 4 + 45 + 544 + 50 + 2 + 7 = 666.

72054455445027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72054455445027 - 28 = 72054455444771 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72054455445097) 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 15 ways as a sum of consecutive naturals, for example, 121303796749 + ... + 121303797342.

It is an arithmetic number, because the mean of its divisors is an integer number (7278227822760).

Almost surely, 272054455445027 is an apocalyptic number.

72054455445027 is a deficient number, since it is larger than the sum of its proper divisors (44397189719133).

72054455445027 is a wasteful number, since it uses less digits than its factorization.

72054455445027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242607594111 (or 242607594105 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 54.

The spelling of 72054455445027 in words is "seventy-two trillion, fifty-four billion, four hundred fifty-five million, four hundred forty-five thousand, twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 242607594091 727822782273 2183468346819 2668683535001 6550405040457 8006050605003 24018151815009 72054455445027