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28075417065144 = 2334112433853621
BaseRepresentation
bin1100110001000110100010…
…10000101101011010111000
310200101222120002100202210000
412120203101100231122320
512134441423232041034
6135413400223353000
75625245002353501
oct630432120553270
9120358502322700
1028075417065144
118a44799010589
123195254452760
1312886676b9017
146d0c00b3bba8
1533a48cc98599
hex1988d142d6b8

28075417065144 has 80 divisors (see below), whose sum is σ = 78644178268920. Its totient is φ = 9357637544640.

The previous prime is 28075417065127. The next prime is 28075417065149. The reversal of 28075417065144 is 44156071457082.

It is a happy number.

28075417065144 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 54 + 1 + 70 + 6 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28075417065149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5358654 + ... + 9212274.

Almost surely, 228075417065144 is an apocalyptic number.

28075417065144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28075417065144 is an abundant number, since it is smaller than the sum of its proper divisors (50568761203776).

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

28075417065144 is a wasteful number, since it uses less digits than its factorization.

28075417065144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864882 (or 3864869 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 28075417065144 in words is "twenty-eight trillion, seventy-five billion, four hundred seventeen million, sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 11243 22486 33729 44972 67458 89944 101187 134916 202374 269832 303561 404748 607122 809496 910683 1214244 1821366 2428488 3642732 3853621 7285464 7707242 11560863 15414484 23121726 30828968 34682589 46243452 69365178 92486904 104047767 138730356 208095534 277460712 312143301 416191068 624286602 832382136 1248573204 2497146408 43326260903 86652521806 129978782709 173305043612 259957565418 346610087224 389936348127 519915130836 779872696254 1039830261672 1169809044381 1559745392508 2339618088762 3119490785016 3509427133143 4679236177524 7018854266286 9358472355048 14037708532572 28075417065144