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123426505560 = 233517271223259
BaseRepresentation
bin111001011110011001…
…0110000001101011000
3102210120210202010110210
41302330302300031120
54010234141134220
6132411254211120
711626423662351
oct1627462601530
9383523663423
10123426505560
11483880544a6
121bb07353aa0
13b840060757
145d8c452d28
153325be66e0
hex1cbccb0358

123426505560 has 128 divisors (see below), whose sum is σ = 393509145600. Its totient is φ = 30863185920.

The previous prime is 123426505519. The next prime is 123426505567. The reversal of 123426505560 is 65505624321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123426505567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441211 + ... + 664469.

It is an arithmetic number, because the mean of its divisors is an integer number (3074290200).

Almost surely, 2123426505560 is an apocalyptic number.

123426505560 is a gapful number since it is divisible by the number (10) 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 123426505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196754572800).

123426505560 is an abundant number, since it is smaller than the sum of its proper divisors (270082640040).

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

123426505560 is a wasteful number, since it uses less digits than its factorization.

123426505560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223561 (or 223557 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 123426505560 in words is "one hundred twenty-three billion, four hundred twenty-six million, five hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 271 340 408 510 542 680 813 1020 1084 1355 1626 2040 2168 2710 3252 4065 4607 5420 6504 8130 9214 10840 13821 16260 18428 23035 27642 32520 36856 46070 55284 69105 92140 110568 138210 184280 223259 276420 446518 552840 669777 893036 1116295 1339554 1786072 2232590 2679108 3348885 3795403 4465180 5358216 6697770 7590806 8930360 11386209 13395540 15181612 18977015 22772418 26791080 30363224 37954030 45544836 56931045 60503189 75908060 91089672 113862090 121006378 151816120 181509567 227724180 242012756 302515945 363019134 455448360 484025512 605031890 726038268 907547835 1028554213 1210063780 1452076536 1815095670 2057108426 2420127560 3085662639 3630191340 4114216852 5142771065 6171325278 7260382680 8228433704 10285542130 12342650556 15428313195 20571084260 24685301112 30856626390 41142168520 61713252780 123426505560