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126146065103160 = 233510711386942123
BaseRepresentation
bin11100101011101010101011…
…011001100111100100111000
3121112122110001011120122000020
4130223222223121213210320
5113013234120131300120
61124142411410010440
735366516042453214
oct3453525331474470
9545573034518006
10126146065103160
1137215278147553
1212193b51b76a20
1355506a4a6019b
142321705ba5944
15e8b536a07640
hex72baab667938

126146065103160 has 128 divisors (see below), whose sum is σ = 385355315047680. Its totient is φ = 33029659916288.

The previous prime is 126146065103137. The next prime is 126146065103203. The reversal of 126146065103160 is 61301560641621.

It is a super-3 number, since 3×1261460651031603 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42020142 + ... + 44921981.

It is an arithmetic number, because the mean of its divisors is an integer number (3010588398810).

Almost surely, 2126146065103160 is an apocalyptic number.

126146065103160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126146065103160 is an abundant number, since it is smaller than the sum of its proper divisors (259209249944520).

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

126146065103160 is a wasteful number, since it uses less digits than its factorization.

126146065103160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86942357 (or 86942353 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 126146065103160 in words is "one hundred twenty-six trillion, one hundred forty-six billion, sixty-five million, one hundred three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 113 120 214 226 321 339 428 452 535 565 642 678 856 904 1070 1130 1284 1356 1605 1695 2140 2260 2568 2712 3210 3390 4280 4520 6420 6780 12091 12840 13560 24182 36273 48364 60455 72546 96728 120910 145092 181365 241820 290184 362730 483640 725460 1450920 86942123 173884246 260826369 347768492 434710615 521652738 695536984 869421230 1043305476 1304131845 1738842460 2086610952 2608263690 3477684920 5216527380 9302807161 9824459899 10433054760 18605614322 19648919798 27908421483 29473379697 37211228644 39297839596 46514035805 49122299495 55816842966 58946759394 74422457288 78595679192 93028071610 98244598990 111633685932 117893518788 139542107415 147366898485 186056143220 196489197980 223267371864 235787037576 279084214830 294733796970 372112286440 392978395960 558168429660 589467593940 1051217209193 1116336859320 1178935187880 2102434418386 3153651627579 4204868836772 5256086045965 6307303255158 8409737673544 10512172091930 12614606510316 15768258137895 21024344183860 25229213020632 31536516275790 42048688367720 63073032551580 126146065103160