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128226556872 = 233105212
BaseRepresentation
bin111011101101011100…
…1011111101111001000
3110020222022220000000000
41313122321133233020
54100101444304442
6134523444043000
712156400515141
oct1673271375710
9406868800000
10128226556872
114a420604057
1220a26993460
13c1266524bb
1462c5b46ac8
153507303d4c
hex1ddae5fbc8

128226556872 has 132 divisors (see below), whose sum is σ = 361328681985. Its totient is φ = 42660146880.

The previous prime is 128226556823. The next prime is 128226556873. The reversal of 128226556872 is 278655622821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

128226556872 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 2 + 6 + 5 + 568 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122104120356 + 6122436516 = 349434^2 + 78246^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=253206.

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

It is not an unprimeable number, because it can be changed into a prime (128226556873) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 246115972 + ... + 246116492.

Almost surely, 2128226556872 is an apocalyptic number.

128226556872 is a gapful number since it is divisible by the number (12) 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 128226556872

128226556872 is an abundant number, since it is smaller than the sum of its proper divisors (233102125113).

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

128226556872 is an frugal number, since it uses more digits than its factorization.

128226556872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 526 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 128226556872 in words is "one hundred twenty-eight billion, two hundred twenty-six million, five hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 521 648 729 972 1042 1458 1563 1944 2084 2187 2916 3126 4168 4374 4689 5832 6252 6561 8748 9378 12504 13122 14067 17496 18756 19683 26244 28134 37512 39366 42201 52488 56268 59049 78732 84402 112536 118098 126603 157464 168804 236196 253206 271441 337608 379809 472392 506412 542882 759618 814323 1012824 1085764 1139427 1519236 1628646 2171528 2278854 2442969 3038472 3257292 3418281 4557708 4885938 6514584 6836562 7328907 9115416 9771876 10254843 13673124 14657814 19543752 20509686 21986721 27346248 29315628 30764529 41019372 43973442 58631256 61529058 65960163 82038744 87946884 123058116 131920326 175893768 197880489 246116232 263840652 395760978 527681304 593641467 791521956 1187282934 1583043912 1780924401 2374565868 3561848802 4749131736 5342773203 7123697604 10685546406 14247395208 16028319609 21371092812 32056639218 42742185624 64113278436 128226556872