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52631360020040 = 23517538527171263
BaseRepresentation
bin10111111011110001100011…
…00001001001111001001000
320220100111201222021020201212
423331320301201021321020
523344303011131120130
6303534302450432252
714041330110513104
oct1375706141117110
9226314658236655
1052631360020040
111585191a6a86aa
125aa0387b92688
13234a16799aa09
14cdd52b24c904
156140e0bcce95
hex2fde31849e48

52631360020040 has 128 divisors (see below), whose sum is σ = 127767986012160. Its totient is φ = 19437913657344.

The previous prime is 52631360020037. The next prime is 52631360020081. The reversal of 52631360020040 is 4002006313625.

52631360020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52631360019979 and 52631360020006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307227449 + ... + 307398711.

It is an arithmetic number, because the mean of its divisors is an integer number (998187390720).

Almost surely, 252631360020040 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 52631360020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63883993006080).

52631360020040 is an abundant number, since it is smaller than the sum of its proper divisors (75136625992120).

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

52631360020040 is a wasteful number, since it uses less digits than its factorization.

52631360020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179871 (or 179867 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 52631360020040 its reverse (4002006313625), we get a palindrome (56633366333665).

The spelling of 52631360020040 in words is "fifty-two trillion, six hundred thirty-one billion, three hundred sixty million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 7208 8527 9010 17054 18020 34108 36040 42635 68216 85270 144959 170540 171263 289918 341080 342526 451931 579836 685052 724795 856315 903862 1159672 1370104 1449590 1712630 1807724 2259655 2899180 2911471 3425260 3615448 4519310 5798360 5822942 6850520 7682827 9038620 9076939 11645884 14557355 15365654 18077240 18153878 23291768 29114710 30731308 36307756 38414135 45384695 58229420 61462616 72615512 76828270 90769390 116458840 153656540 154307963 181538780 307313080 308615926 363077560 617231852 771539815 1234463704 1460359601 1543079630 2920719202 3086159260 5841438404 6172318520 7301798005 11682876808 14603596010 24826113217 29207192020 49652226434 58414384040 77399058853 99304452868 124130566085 154798117706 198608905736 248261132170 309596235412 386995294265 496522264340 619192470824 773990588530 993044528680 1315784000501 1547981177060 2631568001002 3095962354120 5263136002004 6578920002505 10526272004008 13157840005010 26315680010020 52631360020040