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92082426745248 = 2533831284058829
BaseRepresentation
bin10100111011111110011100…
…010101100001000110100000
3110002000222211122101122002000
4110323332130111201012200
544032134302221321443
6523502025521524000
725252510242662442
oct2473763425410640
9402028748348060
1092082426745248
1127381a3534a705
12a3b22364a3600
133c4c449377c34
1418a4b55730492
15a9a41ddd38d3
hex53bf9c5611a0

92082426745248 has 96 divisors (see below), whose sum is σ = 271809573134400. Its totient is φ = 30324333282048.

The previous prime is 92082426745241. The next prime is 92082426745249. The reversal of 92082426745248 is 84254762428029.

It is a happy number.

92082426745248 is a `hidden beast` number, since 9 + 2 + 0 + 8 + 2 + 42 + 67 + 4 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (92082426745241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 641957703 + ... + 642101126.

It is an arithmetic number, because the mean of its divisors is an integer number (2831349720150).

Almost surely, 292082426745248 is an apocalyptic number.

It is an amenable number.

92082426745248 is an abundant number, since it is smaller than the sum of its proper divisors (179727146389152).

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

92082426745248 is a wasteful number, since it uses less digits than its factorization.

92082426745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284058931 (or 1284058917 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 92082426745248 in words is "ninety-two trillion, eighty-two billion, four hundred twenty-six million, seven hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 71712 1284058829 2568117658 3852176487 5136235316 7704352974 10272470632 11556529461 15408705948 20544941264 23113058922 30817411896 34669588383 41089882528 46226117844 61634823792 69339176766 92452235688 106576882807 123269647584 138678353532 184904471376 213153765614 277356707064 319730648421 369808942752 426307531228 554713414128 639461296842 852615062456 959191945263 1109426828256 1278922593684 1705230124912 1918383890526 2557845187368 2877575835789 3410460249824 3836767781052 5115690374736 5755151671578 7673535562104 10231380749472 11510303343156 15347071124208 23020606686312 30694142248416 46041213372624 92082426745248