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123900547056 = 243111319950041
BaseRepresentation
bin111001101100100001…
…1000100111111110000
3102211210211201221011020
41303121003010333300
54012222020001211
6132530310415440
711644241162466
oct1633103047760
9384724657136
10123900547056
11486006a0930
122001a061580
13b8b7327290
145dd53ac836
153352633306
hex1cd90c4ff0

123900547056 has 160 divisors (see below), whose sum is σ = 395825498880. Its totient is φ = 32833382400.

The previous prime is 123900546943. The next prime is 123900547073. The reversal of 123900547056 is 650745009321.

It is a junction number, because it is equal to n+sod(n) for n = 123900546999 and 123900547017.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 344605 + ... + 605436.

It is an arithmetic number, because the mean of its divisors is an integer number (2473909368).

Almost surely, 2123900547056 is an apocalyptic number.

123900547056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123900547056 is an abundant number, since it is smaller than the sum of its proper divisors (271924951824).

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

123900547056 is a wasteful number, since it uses less digits than its factorization.

123900547056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950095 (or 950089 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 123900547056 in words is "one hundred twenty-three billion, nine hundred million, five hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 32604 43472 65208 130416 950041 1900082 2850123 3800164 5700246 7600328 10450451 11400492 12350533 15200656 18050779 20900902 22800984 24701066 31351353 36101558 37051599 41801804 45601968 49402132 54152337 62702706 72203116 74103198 83603608 98804264 108304674 125405412 135855863 144406232 148206396 167207216 197608528 198558569 216609348 234660127 250810824 271711726 288812464 296412792 397117138 407567589 433218696 469320254 501621648 543423452 592825584 595675707 703980381 794234276 815135178 866437392 938640508 1086846904 1191351414 1407960762 1588468552 1630270356 1877281016 2173693808 2382702828 2581261397 2815921524 3176937104 3260540712 3754562032 4765405656 5162522794 5631843048 6521081424 7743784191 9530811312 10325045588 11263686096 15487568382 20650091176 30975136764 41300182352 61950273528 123900547056