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20342010575940 = 22353729093149903
BaseRepresentation
bin1001010000000001111100…
…10100000111110001000100
32200000200021200200220120220
410220000332110013301010
510131240414201412230
6111132553551424340
74166442661655424
oct450007624076104
980020250626526
1020342010575940
116532aa8722889
1223465022250b0
13b473218a2cb1
145047b69ba484
152542207ccd10
hex12803e507c44

20342010575940 has 96 divisors (see below), whose sum is σ = 58517152565760. Its totient is φ = 5276111049216.

The previous prime is 20342010575923. The next prime is 20342010575941. The reversal of 20342010575940 is 4957501024302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20342010575892 and 20342010575901.

It is not an unprimeable number, because it can be changed into a prime (20342010575941) by changing a digit.

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, 4883029 + ... + 8032931.

It is an arithmetic number, because the mean of its divisors is an integer number (609553672560).

Almost surely, 220342010575940 is an apocalyptic number.

20342010575940 is a gapful number since it is divisible by the number (20) 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 20342010575940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258576282880).

20342010575940 is an abundant number, since it is smaller than the sum of its proper divisors (38175141989820).

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

20342010575940 is a wasteful number, since it uses less digits than its factorization.

20342010575940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152861 (or 3152859 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 20342010575940 in words is "twenty trillion, three hundred forty-two billion, ten million, five hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2909 5818 8727 11636 14545 17454 29090 34908 43635 58180 87270 107633 174540 215266 322899 430532 538165 645798 1076330 1291596 1614495 2152660 3149903 3228990 6299806 6457980 9449709 12599612 15749515 18899418 31499030 37798836 47248545 62998060 94497090 116546411 188994180 233092822 349639233 466185644 582732055 699278466 1165464110 1398556932 1748196165 2330928220 3496392330 6992784660 9163067827 18326135654 27489203481 36652271308 45815339135 54978406962 91630678270 109956813924 137446017405 183261356540 274892034810 339033509599 549784069620 678067019198 1017100528797 1356134038396 1695167547995 2034201057594 3390335095990 4068402115188 5085502643985 6780670191980 10171005287970 20342010575940