Search a number
-
+
42546065621360 = 2457531433492777
BaseRepresentation
bin10011010110010000001110…
…01000001100000101110000
312120122100211110120121021112
421223020013020030011300
521034033320244340420
6230253220454412452
711650565111536310
oct1153100710140560
9176570743517245
1042546065621360
1112613759962504
124931867361128
131a980cc892702
14a7135216b440
154dbac2ab08c5
hex26b20720c170

42546065621360 has 80 divisors (see below), whose sum is σ = 115184011697856. Its totient is φ = 14311991875584.

The previous prime is 42546065621299. The next prime is 42546065621383. The reversal of 42546065621360 is 6312656064524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42546065621299 and 42546065621308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716716709 + ... + 716776068.

Almost surely, 242546065621360 is an apocalyptic number.

42546065621360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42546065621360 is an abundant number, since it is smaller than the sum of its proper divisors (72637946076496).

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

42546065621360 is a wasteful number, since it uses less digits than its factorization.

42546065621360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433492850 (or 1433492844 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 42546065621360 in words is "forty-two trillion, five hundred forty-six billion, sixty-five million, six hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5936 7420 14840 29680 1433492777 2866985554 5733971108 7167463885 10034449439 11467942216 14334927770 20068898878 22935884432 28669855540 40137797756 50172247195 57339711080 75975117181 80275595512 100344494390 114679422160 151950234362 160551191024 200688988780 303900468724 379875585905 401377977560 531825820267 607800937448 759751171810 802755955120 1063651640534 1215601874896 1519502343620 2127303281068 2659129101335 3039004687240 4254606562136 5318258202670 6078009374480 8509213124272 10636516405340 21273032810680 42546065621360