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65378705423040 = 2632553431993781
BaseRepresentation
bin11101101110110001010101…
…00000110011101011000000
322120111010212101120102101200
432313120222200303223000
532032131042042014130
6351014321310301200
716525312160612052
oct1667305240635300
9276433771512350
1065378705423040
1119916a53879129
1273ba9b81b7800
132a63254619699
1412204bc08b8d2
157859b4483760
hex3b762a833ac0

65378705423040 has 336 divisors, whose sum is σ = 229650267989376. Its totient is φ = 17065667174400.

The previous prime is 65378705423039. The next prime is 65378705423047. The reversal of 65378705423040 is 4032450787356.

It is a happy number.

65378705423040 is a `hidden beast` number, since 6 + 53 + 7 + 8 + 7 + 0 + 542 + 3 + 0 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (65378705423047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65290950 + ... + 66284730.

Almost surely, 265378705423040 is an apocalyptic number.

65378705423040 is a gapful number since it is divisible by the number (60) 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 65378705423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114825133994688).

65378705423040 is an abundant number, since it is smaller than the sum of its proper divisors (164271562566336).

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

65378705423040 is a wasteful number, since it uses less digits than its factorization.

65378705423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994288 (or 994275 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 65378705423040 in words is "sixty-five trillion, three hundred seventy-eight billion, seven hundred five million, four hundred twenty-three thousand, forty".