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20156220016410 = 235471031271092821
BaseRepresentation
bin1001001010100111111000…
…10101011000011100011010
32122100220201121222120222110
410211103330111120130122
510120214414311011120
6110511350055133150
74150144631163522
oct445237425303432
978326647876873
1020156220016410
116471228800615
1223164b13741b6
13b329533a3c7a
144d97cdb30682
1524e499a5d2e0
hex1254fc55871a

20156220016410 has 128 divisors (see below), whose sum is σ = 50276666179584. Its totient is φ = 5168531531520.

The previous prime is 20156220016403. The next prime is 20156220016417. The reversal of 20156220016410 is 1461002265102.

It is an interprime number because it is at equal distance from previous prime (20156220016403) and next prime (20156220016417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20156220016417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17897800 + ... + 18990620.

It is an arithmetic number, because the mean of its divisors is an integer number (392786454528).

Almost surely, 220156220016410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20156220016410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138333089792).

20156220016410 is an abundant number, since it is smaller than the sum of its proper divisors (30120446163174).

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

20156220016410 is a wasteful number, since it uses less digits than its factorization.

20156220016410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093108.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20156220016410 in words is "twenty trillion, one hundred fifty-six billion, two hundred twenty million, sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 103 127 141 206 235 254 282 309 381 470 515 618 635 705 762 1030 1270 1410 1545 1905 3090 3810 4841 5969 9682 11938 13081 14523 17907 24205 26162 29046 29845 35814 39243 48410 59690 65405 72615 78486 89535 130810 145230 179070 196215 392430 614807 1092821 1229614 1844421 2185642 3074035 3278463 3688842 5464105 6148070 6556926 9222105 10928210 16392315 18444210 32784630 51362587 102725174 112560563 138788267 154087761 225121126 256812935 277576534 308175522 337681689 416364801 513625870 562802815 675363378 693941335 770438805 832729602 1125605630 1387882670 1540877610 1688408445 2081824005 3376816890 4163648010 5290346461 6523048549 10580692922 13046097098 14295191501 15871039383 19569145647 26451732305 28590383002 31742078766 32615242745 39138291294 42885574503 52903464610 65230485490 71475957505 79355196915 85771149006 97845728235 142951915010 158710393830 195691456470 214427872515 428855745030 671874000547 1343748001094 2015622001641 3359370002735 4031244003282 6718740005470 10078110008205 20156220016410