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6106712465140 = 2257229238179999
BaseRepresentation
bin101100011011101010001…
…1011010101111011110100
3210121210111021212110020221
41120313110123111323310
51300023021342341030
620553215053304124
71200124012333660
oct130672433257364
923553437773227
106106712465140
111a44929a91a01
12827631795044
13353b257202b1
141717d051d8a0
15a8cb2640e7a
hex58dd46d5ef4

6106712465140 has 96 divisors (see below), whose sum is σ = 14726476800000. Its totient is φ = 2083685506560.

The previous prime is 6106712465137. The next prime is 6106712465141. The reversal of 6106712465140 is 415642176016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106712465141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76294861 + ... + 76374859.

It is an arithmetic number, because the mean of its divisors is an integer number (153400800000).

Almost surely, 26106712465140 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 6106712465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363238400000).

6106712465140 is an abundant number, since it is smaller than the sum of its proper divisors (8619764334860).

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

6106712465140 is a wasteful number, since it uses less digits than its factorization.

6106712465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82625 (or 82623 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 6106712465140 in words is "six trillion, one hundred six billion, seven hundred twelve million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 2381 3206 4580 4762 6412 8015 9524 11905 16030 16667 23810 32060 33334 47620 66668 79999 83335 159998 166670 319996 333340 399995 545249 559993 799990 1090498 1119986 1599980 2180996 2239972 2726245 2799965 3816743 5452490 5599930 7633486 10904980 11199860 15266972 18319771 19083715 36639542 38167430 73279084 76334860 91598855 128238397 183197710 190477619 256476794 366395420 380955238 512953588 641191985 761910476 952388095 1282383970 1333343333 1904776190 2564767940 2666686666 3809552380 5333373332 6666716665 13333433330 26666866660 43619374751 87238749502 174477499004 218096873755 305335623257 436193747510 610671246514 872387495020 1221342493028 1526678116285 3053356232570 6106712465140