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53342121421520 = 2452337129401417
BaseRepresentation
bin11000010000011101011100…
…01100101110101011010000
320222212110100011020111001222
430020032232030232223100
523442424131040442040
6305241010550144212
714143561331655011
oct1410165614565320
9228773304214058
1053342121421520
1115aa62a2a09528
125b96088652068
13239c1a97b2329
14d25ab5875008
1562783e8e3bb5
hex3083ae32ead0

53342121421520 has 80 divisors (see below), whose sum is σ = 124570490438160. Its totient is φ = 21242241073152.

The previous prime is 53342121421517. The next prime is 53342121421573. The reversal of 53342121421520 is 2512412124335.

It can be written as a sum of positive squares in 8 ways, for example, as 639980800144 + 52702140621376 = 799988^2 + 7259624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×533421214215202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132683852 + ... + 133085268.

It is an arithmetic number, because the mean of its divisors is an integer number (1557131130477).

Almost surely, 253342121421520 is an apocalyptic number.

It is an amenable number.

53342121421520 is an abundant number, since it is smaller than the sum of its proper divisors (71228369016640).

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

53342121421520 is a wasteful number, since it uses less digits than its factorization.

53342121421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408792 (or 408786 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 53342121421520 its reverse (2512412124335), we get a palindrome (55854533545855).

The spelling of 53342121421520 in words is "fifty-three trillion, three hundred forty-two billion, one hundred twenty-one million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 7129 9320 14258 18640 28516 35645 57032 71290 114064 142580 285160 401417 570320 802834 1605668 1661057 2007085 3211336 3322114 4014170 6422672 6644228 8028340 8305285 13288456 16056680 16610570 26576912 32113360 33221140 66442280 93530161 132884560 187060322 374120644 467650805 748241288 935301610 1496482576 1870603220 2861701793 3741206440 5723403586 7482412880 11446807172 14308508965 22893614344 28617017930 45787228688 57234035860 114468071720 228936143440 666776517769 1333553035538 2667106071076 3333882588845 5334212142152 6667765177690 10668424284304 13335530355380 26671060710760 53342121421520