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292098735081140 = 225135059322205773
BaseRepresentation
bin100001001101010011000100…
…1010110000000011010110100
31102022020100220002000222202212
41002122212021112000122310
5301241221202140044030
62513124150103352552
7115345302646006121
oct10232461126003264
91368210802028685
10292098735081140
1185087417a560a9
1228916837452758
13c6caa3c2490c0
14521b923229748
1523b8259a72595
hex109a9895806b4

292098735081140 has 48 divisors (see below), whose sum is σ = 660605610696528. Its totient is φ = 107849704034304.

The previous prime is 292098735081113. The next prime is 292098735081149. The reversal of 292098735081140 is 41180537890292.

It can be written as a sum of positive squares in 8 ways, for example, as 4336231499044 + 287762503582096 = 2082362^2 + 16963564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 292098735081140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292098735081149) by changing a digit.

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, 2051294 + ... + 24257066.

It is an arithmetic number, because the mean of its divisors is an integer number (13762616889511).

Almost surely, 2292098735081140 is an apocalyptic number.

292098735081140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

292098735081140 is an abundant number, since it is smaller than the sum of its proper divisors (368506875615388).

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

292098735081140 is a wasteful number, since it uses less digits than its factorization.

292098735081140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22256388 (or 22256386 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 292098735081140 in words is "two hundred ninety-two trillion, ninety-eight billion, seven hundred thirty-five million, eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 50593 101186 202372 252965 505930 657709 1011860 1315418 2630836 3288545 6577090 13154180 22205773 44411546 88823092 111028865 222057730 288675049 444115460 577350098 1154700196 1443375245 2886750490 5773500980 1123456673389 2246913346778 4493826693556 5617283366945 11234566733890 14604936754057 22469133467780 29209873508114 58419747016228 73024683770285 146049367540570 292098735081140