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20020842608040 = 2332591161046599
BaseRepresentation
bin1001000110101011101110…
…01101100011010110101000
32121212222021221111200211200
410203111313031203112220
510111010141201424130
6110325240443324200
74134313100201661
oct443256715432650
977788257450750
1020020842608040
116419878789a3a
1222b420b820660
13b22c5a40c1c1
144d302a400368
1524abc4a93760
hex1235773635a8

20020842608040 has 96 divisors (see below), whose sum is σ = 65139164064000. Its totient is φ = 5333030801280.

The previous prime is 20020842608009. The next prime is 20020842608111. The reversal of 20020842608040 is 4080624802002.

It is a happy number.

20020842608040 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 8 + 4 + 2 + 608 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20020842607986 and 20020842608004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30195340 + ... + 30851259.

It is an arithmetic number, because the mean of its divisors is an integer number (678532959000).

Almost surely, 220020842608040 is an apocalyptic number.

20020842608040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020842608040 is an abundant number, since it is smaller than the sum of its proper divisors (45118321455960).

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

20020842608040 is a wasteful number, since it uses less digits than its factorization.

20020842608040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61047527 (or 61047520 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20020842608040 in words is "twenty trillion, twenty billion, eight hundred forty-two million, six hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 911 1822 2733 3644 4555 5466 7288 8199 9110 10932 13665 16398 18220 21864 27330 32796 36440 40995 54660 65592 81990 109320 163980 327960 61046599 122093198 183139797 244186396 305232995 366279594 488372792 549419391 610465990 732559188 915698985 1098838782 1220931980 1465118376 1831397970 2197677564 2441863960 2747096955 3662795940 4395355128 5494193910 7325591880 10988387820 21976775640 55613451689 111226903378 166840355067 222453806756 278067258445 333680710134 444907613512 500521065201 556134516890 667361420268 834201775335 1001042130402 1112269033780 1334722840536 1668403550670 2002084260804 2224538067560 2502605326005 3336807101340 4004168521608 5005210652010 6673614202680 10010421304020 20020842608040