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1563660141020 = 2254167271105023
BaseRepresentation
bin10110110000010001011…
…010000100000111011100
312112111002011102101001022
4112300101122010013130
5201104333444003040
63154200251303312
7220653645620225
oct26602132040734
95474064371038
101563660141020
1155316542658a
1221306a74ab38
13b45b624cac3
145597828624c
152aa1b0dd6b5
hex16c116841dc

1563660141020 has 96 divisors (see below), whose sum is σ = 3426612166656. Its totient is φ = 598877452800.

The previous prime is 1563660141007. The next prime is 1563660141047. The reversal of 1563660141020 is 201410663651.

It is a super-2 number, since 2×15636601410202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14836229 + ... + 14941251.

It is an arithmetic number, because the mean of its divisors is an integer number (35693876736).

Almost surely, 21563660141020 is an apocalyptic number.

1563660141020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563660141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713306083328).

1563660141020 is an abundant number, since it is smaller than the sum of its proper divisors (1862952025636).

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

1563660141020 is a wasteful number, since it uses less digits than its factorization.

1563660141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105411 (or 105409 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1563660141020 in words is "one trillion, five hundred sixty-three billion, six hundred sixty million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 271 335 410 542 670 820 1084 1340 1355 2710 2747 5420 5494 10988 11111 13735 18157 22222 27470 36314 44444 54940 55555 72628 90785 105023 111110 181570 210046 222220 363140 420092 525115 744437 1050230 1488874 2100460 2977748 3722185 4305943 7036541 7444370 8611886 14073082 14888740 17223772 21529715 28146164 28461233 35182705 43059430 56922466 70365410 86118860 113844932 140730820 142306165 284612330 288498181 569224660 576996362 1153992724 1166910553 1442490905 1906902611 2333821106 2884981810 3813805222 4667642212 5769963620 5834552765 7627610444 9534513055 11669105530 19069026110 23338211060 38138052220 78183007051 156366014102 312732028204 390915035255 781830070510 1563660141020