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20240077056540 = 223511101303631519
BaseRepresentation
bin1001001101000100000101…
…00110100110101000011100
32122122221011202210121100120
410212202002212212220130
510123103134211302130
6111014055114354540
74156203656233215
oct446420246465034
978587152717316
1020240077056540
1164a384a927a70
12232a7b4a2ba50
13b3a828624b43
144dd8a6c4840c
15251756963910
hex1268829a6a1c

20240077056540 has 96 divisors (see below), whose sum is σ = 62436356720640. Its totient is φ = 4858104288000.

The previous prime is 20240077056491. The next prime is 20240077056547. The reversal of 20240077056540 is 4565077004202.

It is a junction number, because it is equal to n+sod(n) for n = 20240077056492 and 20240077056501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240077056547) 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, 151749100 + ... + 151882419.

It is an arithmetic number, because the mean of its divisors is an integer number (650378715840).

Almost surely, 220240077056540 is an apocalyptic number.

20240077056540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240077056540 is an abundant number, since it is smaller than the sum of its proper divisors (42196279664100).

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

20240077056540 is a wasteful number, since it uses less digits than its factorization.

20240077056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303631643 (or 303631641 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 20240077056540 in words is "twenty trillion, two hundred forty billion, seventy-seven million, fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 303631519 607263038 910894557 1214526076 1518157595 1821789114 3036315190 3339946709 3643578228 4554472785 6072630380 6679893418 9108945570 10019840127 13359786836 16699733545 18217891140 20039680254 30666783419 33399467090 40079360508 50099200635 61333566838 66798934180 92000350257 100198401270 122667133676 153333917095 184000700514 200396802540 306667834190 337334617609 368001401028 460001751285 613335668380 674669235218 920003502570 1012003852827 1349338470436 1686673088045 1840007005140 2024007705654 3373346176090 4048015411308 5060019264135 6746692352180 10120038528270 20240077056540