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53644200740 = 225131741296017
BaseRepresentation
bin110001111101011100…
…011000101100100100
312010110120000202020122
4301331130120230210
51334330403410430
640351021221112
73606232116464
oct617534305444
9163416022218
1053644200740
1120828830aa9
12a491401798
13509ba57720
14284c707ba4
1515de787ee5
hexc7d718b24

53644200740 has 96 divisors (see below), whose sum is σ = 131588289504. Its totient is φ = 18187223040.

The previous prime is 53644200721. The next prime is 53644200767. The reversal of 53644200740 is 4700244635.

53644200740 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 16 ways, for example, as 8804444224 + 44839756516 = 93832^2 + 211754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53644200740.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33212 + ... + 329228.

It is an arithmetic number, because the mean of its divisors is an integer number (1370711349).

Almost surely, 253644200740 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 53644200740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65794144752).

53644200740 is an abundant number, since it is smaller than the sum of its proper divisors (77944088764).

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

53644200740 is a wasteful number, since it uses less digits than its factorization.

53644200740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296097 (or 296095 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 53644200740 in words is "fifty-three billion, six hundred forty-four million, two hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 884 1066 1105 1394 2132 2210 2665 2788 3485 4420 5330 6970 9061 10660 13940 18122 36244 45305 90610 181220 296017 592034 1184068 1480085 2960170 3848221 5032289 5920340 7696442 10064578 12136697 15392884 19241105 20129156 24273394 25161445 38482210 48546788 50322890 60683485 65419757 76964420 100645780 121366970 130839514 157777061 206323849 242733940 261679028 315554122 327098785 412647698 631108244 654197570 788885305 825295396 1031619245 1308395140 1577770610 2063238490 2682210037 3155541220 4126476980 5364420074 10728840148 13411050185 26822100370 53644200740