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20135754543216 = 24313311040930239
BaseRepresentation
bin1001001010000001110000…
…11111110011000001110000
32122021221220100120211112210
410211000320133303001300
510114401011130340331
6110454123221052120
74145521524424104
oct445007037630160
978257810524483
1020135754543216
116463586557704
12231253b557040
13b30a41442810
144d880babd904
1524db9cee9446
hex1250387f3070

20135754543216 has 80 divisors (see below), whose sum is σ = 57825756692480. Its totient is φ = 5995758170880.

The previous prime is 20135754543209. The next prime is 20135754543221. The reversal of 20135754543216 is 61234545753102.

It is a super-2 number, since 2×201357545432162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520445776 + ... + 520484463.

It is an arithmetic number, because the mean of its divisors is an integer number (722821958656).

Almost surely, 220135754543216 is an apocalyptic number.

20135754543216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20135754543216 is an abundant number, since it is smaller than the sum of its proper divisors (37690002149264).

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

20135754543216 is a wasteful number, since it uses less digits than its factorization.

20135754543216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040930294 (or 1040930288 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 20135754543216 in words is "twenty trillion, one hundred thirty-five billion, seven hundred fifty-four million, five hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 1040930239 2081860478 3122790717 4163720956 6245581434 8327441912 12491162868 13532093107 16654883824 24982325736 27064186214 32268837409 40596279321 49964651472 54128372428 64537674818 81192558642 96806512227 108256744856 129075349636 162385117284 193613024454 216513489712 258150699272 324770234568 387226048908 419494886317 516301398544 649540469136 774452097816 838989772634 1258484658951 1548904195632 1677979545268 2516969317902 3355959090536 5033938635804 6711918181072 10067877271608 20135754543216