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54152225145 = 325101109281389
BaseRepresentation
bin110010011011101110…
…010110000101111001
312011202221222001201100
4302123232112011321
51341400432201040
640513250042013
73624641214264
oct623356260571
9164687861640
1054152225145
1120a69579287
12a5b3579309
13515008c095
142899d8bcdb
15161e188b30
hexc9bb96179

54152225145 has 96 divisors (see below), whose sum is σ = 96250096800. Its totient is φ = 28159488000.

The previous prime is 54152225137. The next prime is 54152225209.

54152225145 is a `hidden beast` number, since 5 + 41 + 522 + 2 + 51 + 45 = 666.

54152225145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 757955961 + 53394269184 = 27531^2 + 231072^2 .

It is not a de Polignac number, because 54152225145 - 23 = 54152225137 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139208611 + ... + 139208999.

It is an arithmetic number, because the mean of its divisors is an integer number (1002605175).

Almost surely, 254152225145 is an apocalyptic number.

It is an amenable number.

54152225145 is a deficient number, since it is larger than the sum of its proper divisors (42097871655).

54152225145 is a wasteful number, since it uses less digits than its factorization.

54152225145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 888 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 54152225145 in words is "fifty-four billion, one hundred fifty-two million, two hundred twenty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 101 109 281 303 327 389 505 545 843 909 981 1167 1405 1515 1635 1945 2529 3501 4215 4545 4905 5835 11009 12645 17505 28381 30629 33027 39289 42401 55045 85143 91887 99081 109309 117867 127203 141905 153145 165135 196445 212005 255429 275661 327927 353601 381609 425715 459435 495405 546545 589335 636015 983781 1277145 1378305 1639635 1768005 1908045 3093529 4282501 4918905 9280587 11040209 11914681 12847503 15467645 21412505 27841761 33120627 35744043 38542509 46402935 55201045 59573405 64237515 99361881 107232129 139208805 165603135 178720215 192712545 496809405 536160645 1203382781 3610148343 6016913905 10830445029 18050741715 54152225145