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53723868240 = 2435761751829
BaseRepresentation
bin110010000010001100…
…010010110001010000
312010200002221021111210
4302002030102301100
51340011302240430
640402544540120
73611220226320
oct620214226120
9163602837453
1053723868240
11208697a5409
12a4b4021640
1350b23cc663
142859125280
1515e67732b0
hexc82312c50

53723868240 has 160 divisors (see below), whose sum is σ = 190648154880. Its totient is φ = 12259602432.

The previous prime is 53723868239. The next prime is 53723868251. The reversal of 53723868240 is 4286832735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53723868240.

It is a congruent number.

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, 1010646 + ... + 1062474.

It is an arithmetic number, because the mean of its divisors is an integer number (1191550968).

Almost surely, 253723868240 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 53723868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95324077440).

53723868240 is an abundant number, since it is smaller than the sum of its proper divisors (136924286640).

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

53723868240 is a wasteful number, since it uses less digits than its factorization.

53723868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52469 (or 52463 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 53723868240 in words is "fifty-three billion, seven hundred twenty-three million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 617 840 1234 1680 1851 2468 3085 3702 4319 4936 6170 7404 8638 9255 9872 12340 12957 14808 17276 18510 21595 24680 25914 29616 34552 37020 43190 49360 51828 51829 64785 69104 74040 86380 103656 103658 129570 148080 155487 172760 207312 207316 259140 259145 310974 345520 362803 414632 518280 518290 621948 725606 777435 829264 1036560 1036580 1088409 1243896 1451212 1554870 1814015 2073160 2176818 2487792 2902424 3109740 3628030 4146320 4353636 5442045 5804848 6219480 7256060 8707272 10884090 12438960 14512120 17414544 21768180 29024240 31978493 43536360 63956986 87072720 95935479 127913972 159892465 191870958 223849451 255827944 319784930 383741916 447698902 479677395 511655888 639569860 671548353 767483832 895397804 959354790 1119247255 1279139720 1343096706 1534967664 1790795608 1918709580 2238494510 2558279440 2686193412 3357741765 3581591216 3837419160 4476989020 5372386824 6715483530 7674838320 8953978040 10744773648 13430967060 17907956080 26861934120 53723868240