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52812937620 = 223252924141981
BaseRepresentation
bin110001001011111001…
…010111100110010100
312001022121212012121200
4301023321113212110
51331130103000440
640132324312500
73546516364032
oct611371274624
9161277765550
1052812937620
1120441587793
12a29ab42730
134c98779961
1427b0161552
1515917d7c30
hexc4be57994

52812937620 has 144 divisors (see below), whose sum is σ = 166414968720. Its totient is φ = 13541068800.

The previous prime is 52812937607. The next prime is 52812937747. The reversal of 52812937620 is 2673921825.

52812937620 is a `hidden beast` number, since 5 + 2 + 8 + 12 + 9 + 3 + 7 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3152597904 + 49660339716 = 56148^2 + 222846^2 .

It is a super-2 number, since 2×528129376202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237030 + ... + 1279010.

It is an arithmetic number, because the mean of its divisors is an integer number (1155659505).

Almost surely, 252812937620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52812937620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83207484360).

52812937620 is an abundant number, since it is smaller than the sum of its proper divisors (113602031100).

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

52812937620 is a wasteful number, since it uses less digits than its factorization.

52812937620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42266 (or 42261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 52812937620 in words is "fifty-two billion, eight hundred twelve million, nine hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 241 261 290 348 435 482 522 580 723 870 964 1044 1205 1305 1446 1740 2169 2410 2610 2892 3615 4338 4820 5220 6989 7230 8676 10845 13978 14460 20967 21690 27956 34945 41934 41981 43380 62901 69890 83868 83962 104835 125802 125943 139780 167924 209670 209905 251604 251886 314505 377829 419340 419810 503772 629010 629715 755658 839620 1217449 1258020 1259430 1511316 1889145 2434898 2518860 3652347 3778290 4869796 6087245 7304694 7556580 10117421 10957041 12174490 14609388 18261735 20234842 21914082 24348980 30352263 36523470 40469684 43828164 50587105 54785205 60704526 73046940 91056789 101174210 109570410 121409052 151761315 182113578 202348420 219140820 293405209 303522630 364227156 455283945 586810418 607045260 880215627 910567890 1173620836 1467026045 1760431254 1821135780 2640646881 2934052090 3520862508 4401078135 5281293762 5868104180 8802156270 10562587524 13203234405 17604312540 26406468810 52812937620