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128034837421830 = 23252936662972871
BaseRepresentation
bin11101000111001001101111…
…000000001101111100000110
3121210100000021221220211102100
4131013021233000031330012
5113240210321334444310
61132150220423452530
735653132425332043
oct3507115700157406
9553300257824370
10128034837421830
11378832a6955059
121243a013bb7146
1356598306606b1
142388cc23b81ca
15ec072ec34ec0
hex74726f00df06

128034837421830 has 96 divisors (see below), whose sum is σ = 334036319722560. Its totient is φ = 34025117978880.

The previous prime is 128034837421823. The next prime is 128034837421831. The reversal of 128034837421830 is 38124738430821.

It is a happy number.

128034837421830 is a `hidden beast` number, since 1 + 2 + 80 + 3 + 483 + 7 + 4 + 2 + 1 + 83 + 0 = 666.

It is a super-2 number, since 2×1280348374218302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128034837421831) 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 47 ways as a sum of consecutive naturals, for example, 1756970295 + ... + 1757043165.

It is an arithmetic number, because the mean of its divisors is an integer number (3479544997110).

Almost surely, 2128034837421830 is an apocalyptic number.

128034837421830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128034837421830 is an abundant number, since it is smaller than the sum of its proper divisors (206001482300730).

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

128034837421830 is a wasteful number, since it uses less digits than its factorization.

128034837421830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139806 (or 139803 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 128034837421830 in words is "one hundred twenty-eight trillion, thirty-four billion, eight hundred thirty-seven million, four hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 66629 72871 133258 145742 199887 218613 333145 364355 399774 437226 599661 655839 666290 728710 999435 1093065 1199322 1311678 1998870 2186130 2998305 3279195 5996610 6558390 19522297 21351203 39044594 42702406 58566891 64053609 97611485 106756015 117133782 128107218 175700673 192160827 195222970 213512030 292834455 320268045 351401346 384321654 585668910 640536090 878503365 960804135 1757006730 1921608270 4855321859 9710643718 14565965577 24276609295 29131931154 43697896731 48553218590 72829827885 87395793462 145659655770 218489483655 436978967310 1422609304687 2845218609374 4267827914061 7113046523435 8535655828122 12803483742183 14226093046870 21339139570305 25606967484366 42678279140610 64017418710915 128034837421830