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54164243040 = 2535317355969
BaseRepresentation
bin110010011100011100…
…001100001001100000
312011210210120122011120
4302130130030021200
51341412021234130
640514355412240
73625145320005
oct623434141140
9164723518146
1054164243040
1120a75337526
12a5b75b4080
13515270926b
14289b7d98ac
15162025e910
hexc9c70c260

54164243040 has 96 divisors (see below), whose sum is σ = 171156071520. Its totient is φ = 14398193664.

The previous prime is 54164243039. The next prime is 54164243083. The reversal of 54164243040 is 4034246145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54164242992 and 54164243010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25825 + ... + 330144.

It is an arithmetic number, because the mean of its divisors is an integer number (1782875745).

Almost surely, 254164243040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54164243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85578035760).

54164243040 is an abundant number, since it is smaller than the sum of its proper divisors (116991828480).

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

54164243040 is a wasteful number, since it uses less digits than its factorization.

54164243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356304 (or 356296 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 54164243040 its reverse (4034246145), we get a palindrome (58198489185).

The spelling of 54164243040 in words is "fifty-four billion, one hundred sixty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 317 480 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 10144 12680 15216 19020 25360 30432 38040 50720 76080 152160 355969 711938 1067907 1423876 1779845 2135814 2847752 3559690 4271628 5339535 5695504 7119380 8543256 10679070 11391008 14238760 17086512 21358140 28477520 34173024 42716280 56955040 85432560 112842173 170865120 225684346 338526519 451368692 564210865 677053038 902737384 1128421730 1354106076 1692632595 1805474768 2256843460 2708212152 3385265190 3610949536 4513686920 5416424304 6770530380 9027373840 10832848608 13541060760 18054747680 27082121520 54164243040