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52721431224200 = 23523723333053801
BaseRepresentation
bin10111111110011001010100…
…01011100001111110001000
320220200010020012010111121022
423333030222023201332020
523402241442343133300
6304043520253132012
714050666133230004
oct1377145213417610
9226603205114538
1052721431224200
1115887040532502
125ab592478a008
1323557c049091b
14d03a337a3704
15616613422285
hex2ff32a2e1f88

52721431224200 has 96 divisors (see below), whose sum is σ = 125944230247560. Its totient is φ = 20509809408000.

The previous prime is 52721431224197. The next prime is 52721431224211. The reversal of 52721431224200 is 242213412725.

It can be written as a sum of positive squares in 12 ways, for example, as 5999530967236 + 46721900256964 = 2449394^2 + 6835342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15737300 + ... + 18791100.

Almost surely, 252721431224200 is an apocalyptic number.

52721431224200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52721431224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62972115123780).

52721431224200 is an abundant number, since it is smaller than the sum of its proper divisors (73222799023360).

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

52721431224200 is a wasteful number, since it uses less digits than its factorization.

52721431224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056187 (or 3056178 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 52721431224200 its reverse (242213412725), we get a palindrome (52963644636925).

The spelling of 52721431224200 in words is "fifty-two trillion, seven hundred twenty-one billion, four hundred thirty-one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 2333 3700 4666 7400 9332 11665 18664 23330 46660 58325 86321 93320 116650 172642 233300 345284 431605 466600 690568 863210 1726420 2158025 3053801 3452840 4316050 6107602 8632100 12215204 15269005 17264200 24430408 30538010 61076020 76345025 112990637 122152040 152690050 225981274 305380100 451962548 564953185 610760200 903925096 1129906370 2259812740 2824765925 4519625480 5649531850 7124517733 11299063700 14249035466 22598127400 28498070932 35622588665 56996141864 71245177330 142490354660 178112943325 263607156121 284980709320 356225886650 527214312242 712451773300 1054428624484 1318035780605 1424903546600 2108857248968 2636071561210 5272143122420 6590178903025 10544286244840 13180357806050 26360715612100 52721431224200