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128420667864 = 2334557355799
BaseRepresentation
bin111011110011001110…
…1111110000111011000
3110021110212010212020000
41313212131332013120
54101001142332424
6134555020333000
712164245444326
oct1674635760730
9407425125200
10128420667864
114a510134565
1220a7b9a4160
13c157927188
146303834d16
1535193983c9
hex1de677e1d8

128420667864 has 80 divisors (see below), whose sum is σ = 360343566000. Its totient is φ = 42729916608.

The previous prime is 128420667833. The next prime is 128420667887. The reversal of 128420667864 is 468766024821.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128420667864.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 183037 + ... + 538835.

It is an arithmetic number, because the mean of its divisors is an integer number (4504294575).

Almost surely, 2128420667864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128420667864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180171783000).

128420667864 is an abundant number, since it is smaller than the sum of its proper divisors (231922898136).

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

128420667864 is a wasteful number, since it uses less digits than its factorization.

128420667864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356374 (or 356361 counting only the distinct ones).

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

The spelling of 128420667864 in words is "one hundred twenty-eight billion, four hundred twenty million, six hundred sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 557 648 1114 1671 2228 3342 4456 5013 6684 10026 13368 15039 20052 30078 40104 45117 60156 90234 120312 180468 355799 360936 711598 1067397 1423196 2134794 2846392 3202191 4269588 6404382 8539176 9606573 12808764 19213146 25617528 28819719 38426292 57639438 76852584 115278876 198180043 230557752 396360086 594540129 792720172 1189080258 1585440344 1783620387 2378160516 3567240774 4756321032 5350861161 7134481548 10701722322 14268963096 16052583483 21403444644 32105166966 42806889288 64210333932 128420667864