Search a number
-
+
54020915776 = 2617217092
BaseRepresentation
bin110010010011111001…
…011100001001000000
312011102210212212010101
4302103321130021000
51341113323301101
640452235412144
73621455131162
oct622371341100
9164383785111
1054020915776
1120a01442643
12a5775b4054
13512bb05629
14288676a932
15161289c401
hexc93e5c240

54020915776 has 63 divisors (see below), whose sum is σ = 113941102699. Its totient is φ = 25406732288.

The previous prime is 54020915747. The next prime is 54020915777. The reversal of 54020915776 is 67751902045.

The square root of 54020915776 is 232424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92929600 + 53927986176 = 9640^2 + 232224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54020915777) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31608810 + ... + 31610518.

Almost surely, 254020915776 is an apocalyptic number.

54020915776 is the 232424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54020915776

54020915776 is an abundant number, since it is smaller than the sum of its proper divisors (59920186923).

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

54020915776 is an frugal number, since it uses more digits than its factorization.

54020915776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

It can be divided in two parts, 540209 and 15776, that added together give a triangular number (555985 = T1054).

The spelling of 54020915776 in words is "fifty-four billion, twenty million, nine hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1709 2312 3418 4624 6836 9248 13672 18496 27344 29053 54688 58106 109376 116212 232424 464848 493901 929696 987802 1859392 1975604 2920681 3951208 5841362 7902416 11682724 15804832 23365448 31609664 46730896 49651577 93461792 99303154 186923584 198606308 397212616 794425232 844076809 1588850464 1688153618 3177700928 3376307236 6752614472 13505228944 27010457888 54020915776