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54115415000 = 235423346451
BaseRepresentation
bin110010011001100001…
…111011001111011000
312011200101200220200122
4302121201323033120
51341312021240000
640505453052412
73624013303133
oct623141731730
9164611626618
1054115415000
1120a4a817279
12a5a3187108
13514557142a
14289512921a
15161ad17085
hexc9987b3d8

54115415000 has 80 divisors (see below), whose sum is σ = 127339332120. Its totient is φ = 21552800000.

The previous prime is 54115414981. The next prime is 54115415021. The reversal of 54115415000 is 51451145.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1141775 + ... + 1188225.

Almost surely, 254115415000 is an apocalyptic number.

54115415000 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 54115415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669666060).

54115415000 is an abundant number, since it is smaller than the sum of its proper divisors (73223917120).

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

54115415000 is a wasteful number, since it uses less digits than its factorization.

54115415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46710 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 54115415000 its reverse (51451145), we get a palindrome (54166866145).

The spelling of 54115415000 in words is "fifty-four billion, one hundred fifteen million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 625 932 1000 1165 1250 1864 2330 2500 4660 5000 5825 9320 11650 23300 29125 46451 46600 58250 92902 116500 145625 185804 232255 233000 291250 371608 464510 582500 929020 1161275 1165000 1858040 2322550 4645100 5806375 9290200 10823083 11612750 21646166 23225500 29031875 43292332 46451000 54115415 58063750 86584664 108230830 116127500 216461660 232255000 270577075 432923320 541154150 1082308300 1352885375 2164616600 2705770750 5411541500 6764426875 10823083000 13528853750 27057707500 54115415000