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54053314000 = 245374498599
BaseRepresentation
bin110010010101110101…
…000001110111010000
312011112001211212010121
4302111311001313100
51341200122022000
640455354040024
73622330405510
oct622565016720
9164461755117
1054053314000
1120a18760934
12a586419014
13513573a08a
14288aba1840
15161564bb1a
hexc95d41dd0

54053314000 has 160 divisors (see below), whose sum is σ = 149722560000. Its totient is φ = 18489139200.

The previous prime is 54053313913. The next prime is 54053314009. The reversal of 54053314000 is 41335045.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54053314009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6281701 + ... + 6290299.

It is an arithmetic number, because the mean of its divisors is an integer number (935766000).

Almost surely, 254053314000 is an apocalyptic number.

54053314000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54053314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280000).

54053314000 is an abundant number, since it is smaller than the sum of its proper divisors (95669246000).

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

54053314000 is a wasteful number, since it uses less digits than its factorization.

54053314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 54053314000 its reverse (41335045), we get a palindrome (54094649045).

The spelling of 54053314000 in words is "fifty-four billion, fifty-three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 449 500 560 700 875 898 1000 1400 1750 1796 2000 2245 2800 3143 3500 3592 4490 6286 7000 7184 8599 8980 11225 12572 14000 15715 17198 17960 22450 25144 31430 34396 35920 42995 44900 50288 56125 60193 62860 68792 78575 85990 89800 112250 120386 125720 137584 157150 171980 179600 214975 224500 240772 251440 300965 314300 343960 392875 429950 449000 481544 601930 628600 687920 785750 859900 898000 963088 1074875 1203860 1257200 1504825 1571500 1719800 2149750 2407720 3009650 3143000 3439600 3860951 4299500 4815440 6019300 6286000 7524125 7721902 8599000 12038600 15048250 15443804 17198000 19304755 24077200 27026657 30096500 30887608 38609510 54053314 60193000 61775216 77219020 96523775 108106628 120386000 135133285 154438040 193047550 216213256 270266570 308876080 386095100 432426512 482618875 540533140 675666425 772190200 965237750 1081066280 1351332850 1544380400 1930475500 2162132560 2702665700 3378332125 3860951000 5405331400 6756664250 7721902000 10810662800 13513328500 27026657000 54053314000