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53325417755700 = 223252103135745221
BaseRepresentation
bin11000001111111110010101…
…00101010011010000110100
320222210212020001100100020100
430013333022211103100310
523442140423421140300
6305225205252434100
714142430364104566
oct1407771245232064
9228725201310210
1053325417755700
1115a9a201150132
125b929a6618930
13239a7470052bc
14d24d6d293336
156271b3254700
hex307fca953434

53325417755700 has 108 divisors (see below), whose sum is σ = 167161795796268. Its totient is φ = 14218730073600.

The previous prime is 53325417755569. The next prime is 53325417755719. The reversal of 53325417755700 is 755771452335.

53325417755700 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 54 + 17 + 7 + 5 + 570 + 0 = 666.

53325417755700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 176243794596 + 53149173961104 = 419814^2 + 7290348^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6409090 + ... + 12154310.

It is an arithmetic number, because the mean of its divisors is an integer number (1547794405521).

Almost surely, 253325417755700 is an apocalyptic number.

53325417755700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53325417755700 is an abundant number, since it is smaller than the sum of its proper divisors (113836378040568).

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

53325417755700 is a wasteful number, since it uses less digits than its factorization.

53325417755700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755554 (or 5755544 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 53325417755700 in words is "fifty-three trillion, three hundred twenty-five billion, four hundred seventeen million, seven hundred fifty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 10313 20626 30939 41252 51565 61878 92817 103130 123756 154695 185634 206260 257825 309390 371268 464085 515650 618780 773475 928170 1031300 1546950 1856340 2320425 3093900 4640850 5745221 9281700 11490442 17235663 22980884 28726105 34471326 51706989 57452210 68942652 86178315 103413978 114904420 143630525 172356630 206827956 258534945 287261050 344713260 430891575 517069890 574522100 861783150 1034139780 1292674725 1723566300 2585349450 5170698900 59250464173 118500928346 177751392519 237001856692 296252320865 355502785038 533254177557 592504641730 711005570076 888756962595 1066508355114 1185009283460 1481261604325 1777513925190 2133016710228 2666270887785 2962523208650 3555027850380 4443784812975 5332541775570 5925046417300 8887569625950 10665083551140 13331354438925 17775139251900 26662708877850 53325417755700