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53015023200 = 25352128917137
BaseRepresentation
bin110001010111111100…
…010000111001100000
312001211201010012220210
4301113330100321200
51332033321220300
640204343534120
73554522155566
oct612774207140
9161751105823
1053015023200
1120535664667
12a33675a340
134ccb5b4319
1427ccd27a36
1515a4405050
hexc57f10e60

53015023200 has 144 divisors (see below), whose sum is σ = 172707852240. Its totient is φ = 14125547520.

The previous prime is 53015023151. The next prime is 53015023211. The reversal of 53015023200 is 232051035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085032 + ... + 3102168.

It is an arithmetic number, because the mean of its divisors is an integer number (1199360085).

Almost surely, 253015023200 is an apocalyptic number.

53015023200 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 53015023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86353926120).

53015023200 is an abundant number, since it is smaller than the sum of its proper divisors (119692829040).

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

53015023200 is a wasteful number, since it uses less digits than its factorization.

53015023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 53015023200 its reverse (232051035), we get a palindrome (53247074235).

The spelling of 53015023200 in words is "fifty-three billion, fifteen million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1289 2400 2578 3867 5156 6445 7734 10312 12890 15468 17137 19335 20624 25780 30936 32225 34274 38670 41248 51411 51560 61872 64450 68548 77340 85685 96675 102822 103120 123744 128900 137096 154680 171370 193350 205644 206240 257055 257800 274192 309360 342740 386700 411288 428425 514110 515600 548384 618720 685480 773400 822576 856850 1028220 1031200 1285275 1370960 1546800 1645152 1713700 2056440 2570550 2741920 3093600 3427400 4112880 5141100 6854800 8225760 10282200 13709600 20564400 22089593 41128800 44179186 66268779 88358372 110447965 132537558 176716744 220895930 265075116 331343895 353433488 441791860 530150232 552239825 662687790 706866976 883583720 1060300464 1104479650 1325375580 1656719475 1767167440 2120600928 2208959300 2650751160 3313438950 3534334880 4417918600 5301502320 6626877900 8835837200 10603004640 13253755800 17671674400 26507511600 53015023200