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54299252484 = 22327125472
BaseRepresentation
bin110010100100011111…
…001101011100000100
312012011012121211022100
4302210133031130010
51342201102034414
640540021232100
73631405013361
oct624437153404
9165135554270
1054299252484
1121034570084
12a634862630
135174689bc9
1428b1701468
15162c02c609
hexca47cd704

54299252484 has 81 divisors (see below), whose sum is σ = 139471836231. Its totient is φ = 17812201680.

The previous prime is 54299252471. The next prime is 54299252489. The reversal of 54299252484 is 48425299245.

The square root of 54299252484 is 233022.

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

54299252484 is a `hidden beast` number, since 5 + 4 + 29 + 92 + 52 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54299252484.

It is not an unprimeable number, because it can be changed into a prime (54299252489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99267099 + ... + 99267645.

Almost surely, 254299252484 is an apocalyptic number.

54299252484 is the 233022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54299252484

54299252484 is an abundant number, since it is smaller than the sum of its proper divisors (85172583747).

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

54299252484 is an equidigital number, since it uses as much as digits as its factorization.

54299252484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 54299252484 in words is "fifty-four billion, two hundred ninety-nine million, two hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 547 639 852 1094 1278 1641 2188 2556 3282 4923 5041 6564 9846 10082 15123 19692 20164 30246 38837 45369 60492 77674 90738 116511 155348 181476 233022 299209 349533 466044 598418 699066 897627 1196836 1398132 1795254 2692881 2757427 3590508 5385762 5514854 8272281 10771524 11029708 16544562 21243839 24816843 33089124 42487678 49633686 63731517 84975356 99267372 127463034 191194551 254926068 382389102 764778204 1508312569 3016625138 4524937707 6033250276 9049875414 13574813121 18099750828 27149626242 54299252484