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5015503220040 = 233458831175291
BaseRepresentation
bin100100011111100001101…
…0010011010110101001000
3122202110220001011022020000
41020333003102122311020
51124133222311020130
614400031304203000
71025233562646315
oct110770322326510
918673801138200
105015503220040
1116640768a5205
12690055a69460
132a4c62c51c51
14134a7475dd0c
158a6e87d8260
hex48fc349ad48

5015503220040 has 160 divisors (see below), whose sum is σ = 16859668700160. Its totient is φ = 1337308444800.

The previous prime is 5015503220029. The next prime is 5015503220047. The reversal of 5015503220040 is 400223055105.

It is a happy number.

5015503220040 is a `hidden beast` number, since 50 + 1 + 550 + 3 + 2 + 20 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5015503219986 and 5015503220013.

It is not an unprimeable number, because it can be changed into a prime (5015503220047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28524795 + ... + 28700085.

It is an arithmetic number, because the mean of its divisors is an integer number (105372929376).

Almost surely, 25015503220040 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 5015503220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429834350080).

5015503220040 is an abundant number, since it is smaller than the sum of its proper divisors (11844165480120).

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

5015503220040 is a wasteful number, since it uses less digits than its factorization.

5015503220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184145 (or 184132 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 5015503220040 its reverse (400223055105), we get a palindrome (5415726275145).

The spelling of 5015503220040 in words is "five trillion, fifteen billion, five hundred three million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 8831 17662 26493 35324 44155 52986 70648 79479 88310 105972 132465 158958 175291 176620 211944 238437 264930 317916 350582 353240 397395 476874 525873 529860 635832 701164 715311 794790 876455 953748 1051746 1059720 1192185 1402328 1430622 1577619 1589580 1752910 1907496 2103492 2384370 2629365 2861244 3155238 3179160 3505820 3576555 4206984 4732857 4768740 5258730 5722488 6310476 7011640 7153110 7888095 9465714 9537480 10517460 12620952 14198571 14306220 15776190 18931428 21034920 23664285 28397142 28612440 31552380 37862856 47328570 56794284 63104760 70992855 94657140 113588568 141985710 189314280 283971420 567942840 1547994821 3095989642 4643984463 6191979284 7739974105 9287968926 12383958568 13931953389 15479948210 18575937852 23219922315 27863906778 30959896420 37151875704 41795860167 46439844630 55727813556 61919792840 69659766945 83591720334 92879689260 111455627112 125387580501 139319533890 167183440668 185759378520 208979300835 250775161002 278639067780 334366881336 417958601670 501550322004 557278135560 626937902505 835917203340 1003100644008 1253875805010 1671834406680 2507751610020 5015503220040