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53132341200 = 24352139931649
BaseRepresentation
bin110001011110111011…
…110010111111010000
312002010212212120221220
4301132323302333100
51332303334404300
640224134245040
73560445306561
oct613673627720
9162125776856
1053132341200
1120595904394
12a369ab6780
1350199ac563
142800746168
1515ae87ada0
hexc5eef2fd0

53132341200 has 120 divisors (see below), whose sum is σ = 170327640000. Its totient is φ = 14158049280.

The previous prime is 53132341169. The next prime is 53132341217. The reversal of 53132341200 is 214323135.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662976 + ... + 1694624.

It is an arithmetic number, because the mean of its divisors is an integer number (1419397000).

Almost surely, 253132341200 is an apocalyptic number.

53132341200 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 53132341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85163820000).

53132341200 is an abundant number, since it is smaller than the sum of its proper divisors (117195298800).

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

53132341200 is a wasteful number, since it uses less digits than its factorization.

53132341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33069 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 53132341200 its reverse (214323135), we get a palindrome (53346664335).

The spelling of 53132341200 in words is "fifty-three billion, one hundred thirty-two million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1399 2798 4197 5596 6995 8394 11192 13990 16788 20985 22384 27980 31649 33576 34975 41970 55960 63298 67152 69950 83940 94947 104925 111920 126596 139900 158245 167880 189894 209850 253192 279800 316490 335760 379788 419700 474735 506384 559600 632980 759576 791225 839400 949470 1265960 1519152 1582450 1678800 1898940 2373675 2531920 3164900 3797880 4747350 6329800 7595760 9494700 12659600 18989400 37978800 44276951 88553902 132830853 177107804 221384755 265661706 354215608 442769510 531323412 664154265 708431216 885539020 1062646824 1106923775 1328308530 1771078040 2125293648 2213847550 2656617060 3320771325 3542156080 4427695100 5313234120 6641542650 8855390200 10626468240 13283085300 17710780400 26566170600 53132341200