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53344046451300 = 223521140034038187
BaseRepresentation
bin11000010000100001000001…
…11100001000101001100100
320222212122022022112010111020
430020100200330020221210
523442442101342420200
6305241525554211140
714143660125312513
oct1410204074105144
9228778268463436
1053344046451300
1115aa70a05aa930
125b96525283ab0
13239c42556a7c7
14d25c193b667a
156279038e7ea0
hex308420f08a64

53344046451300 has 144 divisors (see below), whose sum is σ = 168415311896832. Its totient is φ = 12928656297600.

The previous prime is 53344046451277. The next prime is 53344046451301. The reversal of 53344046451300 is 315464044335.

It is not an unprimeable number, because it can be changed into a prime (53344046451301) 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, 11190807 + ... + 15228993.

Almost surely, 253344046451300 is an apocalyptic number.

53344046451300 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 53344046451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84207655948416).

53344046451300 is an abundant number, since it is smaller than the sum of its proper divisors (115071265445532).

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

53344046451300 is a wasteful number, since it uses less digits than its factorization.

53344046451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042218 (or 4042211 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 53344046451300 in words is "fifty-three trillion, three hundred forty-four billion, forty-six million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4003 8006 12009 16012 20015 24018 40030 44033 48036 60045 80060 88066 100075 120090 132099 176132 200150 220165 240180 264198 300225 400300 440330 528396 600450 660495 880660 1100825 1200900 1320990 2201650 2641980 3302475 4038187 4403300 6604950 8076374 12114561 13209900 16152748 20190935 24229122 40381870 44420057 48458244 60572805 80763740 88840114 100954675 121145610 133260171 177680228 201909350 222100285 242291220 266520342 302864025 403818700 444200570 533040684 605728050 666300855 888401140 1110501425 1211456100 1332601710 2221002850 2665203420 3331504275 4442005700 6663008550 13326017100 16164862561 32329725122 48494587683 64659450244 80824312805 96989175366 161648625610 177813488171 193978350732 242472938415 323297251220 355626976342 404121564025 484945876830 533440464513 711253952684 808243128050 889067440855 969891753660 1066880929026 1212364692075 1616486256100 1778134881710 2133761858052 2424729384150 2667202322565 3556269763420 4445337204275 4849458768300 5334404645130 8890674408550 10668809290260 13336011612825 17781348817100 26672023225650 53344046451300