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128505122190 = 2345295470631
BaseRepresentation
bin111011110101110000…
…0001000110110001110
3110021200202001120210000
41313223200020312032
54101134302402230
6135011234425130
712166322342004
oct1675340106616
9407622046700
10128505122190
114a553878325
1220aa41321a6
13c16c286b53
146310b3aa74
1535219cbb60
hex1deb808d8e

128505122190 has 80 divisors (see below), whose sum is σ = 357451094880. Its totient is φ = 33086370240.

The previous prime is 128505122189. The next prime is 128505122197. The reversal of 128505122190 is 91221505821.

128505122190 is a `hidden beast` number, since 1 + 2 + 8 + 50 + 512 + 2 + 1 + 90 = 666.

It is a super-2 number, since 2×1285051221902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128505122197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2711826 + ... + 2758805.

It is an arithmetic number, because the mean of its divisors is an integer number (4468138686).

Almost surely, 2128505122190 is an apocalyptic number.

128505122190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128505122190 is an abundant number, since it is smaller than the sum of its proper divisors (228945972690).

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

128505122190 is a wasteful number, since it uses less digits than its factorization.

128505122190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470679 (or 5470670 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 128505122190 in words is "one hundred twenty-eight billion, five hundred five million, one hundred twenty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 5470631 10941262 16411893 27353155 32823786 49235679 54706310 82059465 98471358 147707037 158648299 164118930 246178395 295414074 317296598 443121111 475944897 492356790 738535185 793241495 886242222 951889794 1427834691 1477070370 1586482990 2215605555 2379724485 2855669382 4283504073 4431211110 4759448970 7139173455 8567008146 12850512219 14278346910 21417520365 25701024438 42835040730 64252561095 128505122190