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52493284812400 = 24521663271929023
BaseRepresentation
bin10111110111110000010111…
…00110000010011001110000
320212212022100021101221201121
423323320023212002121300
523340022221402444100
6303351025423512024
714025341350562245
oct1373701346023160
9225768307357647
1052493284812400
11157a9305863553
125a79672a58614
13233a131b10113
14cd698d4dd5cc
1561070de6551a
hex2fbe0b982670

52493284812400 has 120 divisors (see below), whose sum is σ = 126241713029120. Its totient is φ = 20976247192320.

The previous prime is 52493284812383. The next prime is 52493284812407. The reversal of 52493284812400 is 421848239425.

52493284812400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×524932848124003 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52493284812407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1808664289 + ... + 1808693311.

Almost surely, 252493284812400 is an apocalyptic number.

52493284812400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52493284812400 is an abundant number, since it is smaller than the sum of its proper divisors (73748428216720).

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

52493284812400 is a wasteful number, since it uses less digits than its factorization.

52493284812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33423 (or 33412 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 52493284812400 in words is "fifty-two trillion, four hundred ninety-three billion, two hundred eighty-four million, eight hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1663 2719 3326 5438 6652 8315 10876 13304 13595 16630 21752 26608 27190 29023 33260 41575 43504 54380 58046 66520 67975 83150 108760 116092 133040 135950 145115 166300 217520 232184 271900 290230 332600 464368 543800 580460 665200 725575 1087600 1160920 1451150 2321840 2902300 4521697 5804600 9043394 11609200 18086788 22608485 36173576 45216970 48265249 72347152 78913537 90433940 96530498 113042425 157827074 180867880 193060996 226084850 241326245 315654148 361735760 386121992 394567685 452169700 482652490 631308296 772243984 789135370 904339400 965304980 1206631225 1262616592 1578270740 1808678800 1930609960 1972838425 2413262450 3156541480 3861219920 3945676850 4826524900 6313082960 7891353700 9653049800 15782707400 19306099600 31565414800 131233212031 262466424062 524932848124 656166060155 1049865696248 1312332120310 2099731392496 2624664240620 3280830300775 5249328481240 6561660601550 10498656962480 13123321203100 26246642406200 52493284812400