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66249018422500 = 22541627872
BaseRepresentation
bin11110001000000110011010…
…01101011011010011100100
322200120100022000000121210111
433010003031031123103210
532140410442204010000
6352522213502302404
716645222302214444
oct1704031515332344
9280510260017714
1066249018422500
111a122061878031
12751b606287a04
132ac7342810384
141250680824124
1579d4505b1cba
hex3c40cd35b4e4

66249018422500 has 45 divisors (see below), whose sum is σ = 144874243448319. Its totient is φ = 26499444582000.

The previous prime is 66249018422437. The next prime is 66249018422501. The reversal of 66249018422500 is 522481094266.

The square root of 66249018422500 is 8139350.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5193923044324 + 61055095378176 = 2279018^2 + 7813776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66249018422501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 406886107 + ... + 407048893.

Almost surely, 266249018422500 is an apocalyptic number.

66249018422500 is the 8139350-th square number.

It is an amenable number.

66249018422500 is an abundant number, since it is smaller than the sum of its proper divisors (78625225025819).

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

66249018422500 is an frugal number, since it uses more digits than its factorization.

66249018422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325598 (or 162794 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 66249018422500 in words is "sixty-six trillion, two hundred forty-nine billion, eighteen million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 162787 325574 651148 813935 1627870 3255740 4069675 8139350 16278700 20348375 40696750 81393500 101741875 203483750 406967500 26499607369 52999214738 105998429476 132498036845 264996073690 529992147380 662490184225 1324980368450 2649960736900 3312450921125 6624901842250 13249803684500 16562254605625 33124509211250 66249018422500