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1082956441710 = 23511132137118127
BaseRepresentation
bin11111100001001010011…
…10111110100001101110
310211112022002121022002010
433300211032332201232
5120220343322113320
62145300414542050
7141145445605143
oct17604516764156
93745262538063
101082956441710
11388308751430
12155a73b07926
137b178a73840
143a5b5aca3ca
151d284572ae0
hexfc253be86e

1082956441710 has 128 divisors (see below), whose sum is σ = 3054937503744. Its totient is φ = 242224450560.

The previous prime is 1082956441667. The next prime is 1082956441711. The reversal of 1082956441710 is 171446592801.

It is a self number, because there is not a number n which added to its sum of digits gives 1082956441710.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082956441711) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9108667 + ... + 9226793.

It is an arithmetic number, because the mean of its divisors is an integer number (23866699248).

Almost surely, 21082956441710 is an apocalyptic number.

1082956441710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082956441710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527468751872).

1082956441710 is an abundant number, since it is smaller than the sum of its proper divisors (1971981062034).

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

1082956441710 is a wasteful number, since it uses less digits than its factorization.

1082956441710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120298.

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1082956441710 in words is "one trillion, eighty-two billion, nine hundred fifty-six million, four hundred forty-one thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2137 2145 4274 4290 6411 10685 12822 21370 23507 27781 32055 47014 55562 64110 70521 83343 117535 118127 138905 141042 166686 235070 236254 277810 305591 352605 354381 416715 590635 611182 705210 708762 833430 916773 1181270 1299397 1527955 1535651 1771905 1833546 2598794 3055910 3071302 3543810 3898191 4583865 4606953 6496985 7678255 7796382 9167730 9213906 12993970 15356510 16892161 19490955 23034765 33784322 38981910 46069530 50676483 84460805 101352966 168921610 252437399 253382415 504874798 506764830 757312197 1262186995 1514624394 2524373990 2776811389 3281686187 3786560985 5553622778 6563372374 7573121970 8330434167 9845058561 13884056945 16408430935 16660868334 19690117122 27768113890 32816861870 36098548057 41652170835 49225292805 72197096114 83304341670 98450585610 108295644171 180492740285 216591288342 360985480570 541478220855 1082956441710