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53216949288300 = 22352725439965161
BaseRepresentation
bin11000001100110100010010…
…10110111011110101101100
320222102111020200210021121220
430012122021112323311230
523433401303004211200
6305103310133023340
714131540420253010
oct1406321126736554
9228374220707556
1053216949288300
1115a581aa568146
125b75974784b50
13239044bbbb105
14d1d9dd660540
156244658344a0
hex3066895bbd6c

53216949288300 has 144 divisors (see below), whose sum is σ = 176039928056832. Its totient is φ = 12159089625600.

The previous prime is 53216949288299. The next prime is 53216949288301. The reversal of 53216949288300 is 388294961235.

It is an interprime number because it is at equal distance from previous prime (53216949288299) and next prime (53216949288301).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (53216949288301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357720 + ... + 10322880.

Almost surely, 253216949288300 is an apocalyptic number.

53216949288300 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 53216949288300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88019964028416).

53216949288300 is an abundant number, since it is smaller than the sum of its proper divisors (122822978768532).

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

53216949288300 is a wasteful number, since it uses less digits than its factorization.

53216949288300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967728 (or 9967721 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 53216949288300 in words is "fifty-three trillion, two hundred sixteen billion, nine hundred forty-nine million, two hundred eighty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2543 5086 7629 10172 12715 15258 17801 25430 30516 35602 38145 50860 53403 63575 71204 76290 89005 106806 127150 152580 178010 190725 213612 254300 267015 356020 381450 445025 534030 762900 890050 1068060 1335075 1780100 2670150 5340300 9965161 19930322 29895483 39860644 49825805 59790966 69756127 99651610 119581932 139512254 149477415 199303220 209268381 249129025 279024508 298954830 348780635 418536762 498258050 597909660 697561270 747387075 837073524 996516100 1046341905 1395122540 1494774150 1743903175 2092683810 2989548300 3487806350 4185367620 5231709525 6975612700 10463419050 20926838100 25341404423 50682808846 76024213269 101365617692 126707022115 152048426538 177389830961 253414044230 304096853076 354779661922 380121066345 506828088460 532169492883 633535110575 709559323844 760242132690 886949154805 1064338985766 1267070221150 1520484265380 1773898309610 1900605331725 2128677971532 2534140442300 2660847464415 3547796619220 3801210663450 4434745774025 5321694928830 7602421326900 8869491548050 10643389857660 13304237322075 17738983096100 26608474644150 53216949288300