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45685581310110 = 23571511583910127
BaseRepresentation
bin10100110001101000000001…
…10110000110100010011110
312222202111110201020012100010
422120310000312012202132
521442003032303410420
6241055355531344050
712423450202560510
oct1230640066064236
9188674421205303
1045685581310110
11136141676a1095
12515a2088b2026
131c651938334a1
14b3d2a0221bb0
155435c075b4e0
hex298d00d8689e

45685581310110 has 128 divisors (see below), whose sum is σ = 126218706223104. Its totient is φ = 10366699190400.

The previous prime is 45685581310099. The next prime is 45685581310111. The reversal of 45685581310110 is 1101318558654.

It is a self number, because there is not a number n which added to its sum of digits gives 45685581310110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45685581310111) 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 63 ways as a sum of consecutive naturals, for example, 49741867 + ... + 50651993.

It is an arithmetic number, because the mean of its divisors is an integer number (986083642368).

Almost surely, 245685581310110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45685581310110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63109353111552).

45685581310110 is an abundant number, since it is smaller than the sum of its proper divisors (80533124912994).

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

45685581310110 is a wasteful number, since it uses less digits than its factorization.

45685581310110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911878.

The product of its (nonzero) digits is 576000, while the sum is 48.

Adding to 45685581310110 its reverse (1101318558654), we get a palindrome (46786899868764).

The spelling of 45685581310110 in words is "forty-five trillion, six hundred eighty-five billion, five hundred eighty-one million, three hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 453 755 906 1057 1510 1583 2114 2265 3166 3171 4530 4749 5285 6342 7915 9498 10570 11081 15830 15855 22162 23745 31710 33243 47490 55405 66486 110810 166215 239033 332430 478066 717099 910127 1195165 1434198 1673231 1820254 2390330 2730381 3346462 3585495 4550635 5019693 5460762 6370889 7170990 8366155 9101270 10039386 12741778 13651905 16732310 19112667 25098465 27303810 31854445 38225334 50196930 63708890 95563335 137429177 191126670 274858354 412287531 687145885 824575062 962004239 1374291770 1440731041 1924008478 2061437655 2881462082 2886012717 4122875310 4322193123 4810021195 5772025434 7203655205 8644386246 9620042390 10085117287 14407310410 14430063585 20170234574 21610965615 28860127170 30255351861 43221931230 50425586435 60510703722 100851172870 151276759305 217550387191 302553518610 435100774382 652651161573 1087751935955 1305302323146 1522852710337 2175503871910 3045705420674 3263255807865 4568558131011 6526511615730 7614263551685 9137116262022 15228527103370 22842790655055 45685581310110