Search a number
-
+
6140850787640 = 23517113106974759
BaseRepresentation
bin101100101011100011100…
…1110101101010100111000
3210202001121110010220212202
41121113013032231110320
51301102430300201030
621021022400125332
71202443002312002
oct131270716552470
923661543126782
106140850787640
111a583581a5978
1283217a606848
1335710627771a
1417330c407372
15a9b0e714745
hex595c73ad538

6140850787640 has 128 divisors (see below), whose sum is σ = 14773144176000. Its totient is φ = 2289216749568.

The previous prime is 6140850787633. The next prime is 6140850787667. The reversal of 6140850787640 is 467870580416.

It is a happy number.

It is a congruent number.

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, 82104581 + ... + 82179339.

It is an arithmetic number, because the mean of its divisors is an integer number (115415188875).

Almost surely, 26140850787640 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 6140850787640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386572088000).

6140850787640 is an abundant number, since it is smaller than the sum of its proper divisors (8632293388360).

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

6140850787640 is a wasteful number, since it uses less digits than its factorization.

6140850787640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75969 (or 75965 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 6140850787640 in words is "six trillion, one hundred forty billion, eight hundred fifty million, seven hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 904 1069 1130 1921 2138 2260 3842 4276 4520 5345 7684 8552 9605 10690 15368 18173 19210 21380 36346 38420 42760 72692 74759 76840 90865 120797 145384 149518 181730 241594 299036 363460 373795 483188 598072 603985 726920 747590 966376 1207970 1270903 1495180 2053549 2415940 2541806 2990360 4107098 4831880 5083612 6354515 8214196 8447767 10167224 10267745 12709030 16428392 16895534 20535490 25418060 33791068 41070980 42238835 50836120 67582136 79917371 82141960 84477670 143612039 159834742 168955340 287224078 319669484 337910680 399586855 574448156 639338968 718060195 799173710 1148896312 1358595307 1436120390 1598347420 2717190614 2872240780 3196694840 5434381228 5744481560 6792976535 9030662923 10868762456 13585953070 18061325846 27171906140 36122651692 45153314615 54343812280 72245303384 90306629230 153521269691 180613258460 307042539382 361226516920 614085078764 767606348455 1228170157528 1535212696910 3070425393820 6140850787640