Search a number
-
+
54285434658225 = 325289255192
BaseRepresentation
bin11000101011111010100000…
…00011001001110110110001
321010012122012021111222010100
430111331100003021312301
524103403032233030400
6311242215010423013
714301664451121411
oct1425752003116661
9233178167458110
1054285434658225
111632a361712111
126108a6a291a69
13243a12c888b84
14d5960148c641
1564214e722100
hex315f500c9db1

54285434658225 has 81 divisors (see below), whose sum is σ = 98353827161473. Its totient is φ = 28621738865280.

The previous prime is 54285434658193. The next prime is 54285434658277. The reversal of 54285434658225 is 52285643458245.

The square root of 54285434658225 is 7367865.

It is a perfect power (a square), and thus also a powerful number.

54285434658225 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 5 + 4 + 3 + 46 + 582 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11296798267041 + 42988636391184 = 3361071^2 + 6556572^2 .

It is not a de Polignac number, because 54285434658225 - 25 = 54285434658193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9836097016 + ... + 9836102534.

Almost surely, 254285434658225 is an apocalyptic number.

54285434658225 is the 7367865-th square number.

54285434658225 is the 3683933-rd centered octagonal number.

It is an amenable number.

54285434658225 is a deficient number, since it is larger than the sum of its proper divisors (44068392503248).

54285434658225 is an frugal number, since it uses more digits than its factorization.

54285434658225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11232 (or 5616 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 63.

The spelling of 54285434658225 in words is "fifty-four trillion, two hundred eighty-five billion, four hundred thirty-four million, six hundred fifty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 5519 6675 7921 16557 20025 23763 27595 39605 49671 71289 82785 118815 137975 198025 248355 356445 413925 491191 594075 1241775 1473573 1782225 2455955 4420719 7367865 12279775 22103595 30459361 36839325 43715999 91378083 110517975 131147997 152296805 218579995 274134249 393443991 456890415 655739985 761484025 1092899975 1370671245 1967219955 2284452075 2710883129 3278699925 6853356225 8132649387 9836099775 13554415645 24397948161 40663246935 67772078225 121989740805 203316234675 241268598481 609948704025 723805795443 1206342992405 2171417386329 3619028977215 6031714962025 10857086931645 18095144886075 54285434658225