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55682165000 = 2354711144629
BaseRepresentation
bin110011110110111010…
…100110100100001000
312022201120211001122102
4303312322212210020
51403014113240000
641325142012532
74010566410320
oct636672464410
9168646731572
1055682165000
1121684148790
12a95ba17148
135335034b37
1429a3246280
1516ad6493d5
hexcf6ea6908

55682165000 has 160 divisors (see below), whose sum is σ = 162656683200. Its totient is φ = 17355360000.

The previous prime is 55682164999. The next prime is 55682165009. The reversal of 55682165000 is 56128655.

55682165000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55682165009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312686 + ... + 457314.

It is an arithmetic number, because the mean of its divisors is an integer number (1016604270).

Almost surely, 255682165000 is an apocalyptic number.

55682165000 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 55682165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81328341600).

55682165000 is an abundant number, since it is smaller than the sum of its proper divisors (106974518200).

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

55682165000 is a wasteful number, since it uses less digits than its factorization.

55682165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144673 (or 144654 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 55682165000 in words is "fifty-five billion, six hundred eighty-two million, one hundred sixty-five thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 625 700 770 875 1000 1100 1250 1375 1400 1540 1750 1925 2200 2500 2750 3080 3500 3850 4375 5000 5500 6875 7000 7700 8750 9625 11000 13750 15400 17500 19250 27500 35000 38500 48125 55000 77000 96250 144629 192500 289258 385000 578516 723145 1012403 1157032 1446290 1590919 2024806 2892580 3181838 3615725 4049612 5062015 5785160 6363676 7231450 7954595 8099224 10124030 11136433 12727352 14462900 15909190 18078625 20248060 22272866 25310075 28925800 31818380 36157250 39772975 40496120 44545732 50620150 55682165 63636760 72314500 79545950 89091464 90393125 101240300 111364330 126550375 144629000 159091900 180786250 198864875 202480600 222728660 253100750 278410825 318183800 361572500 397729750 445457320 506201500 556821650 632751875 723145000 795459500 994324375 1012403000 1113643300 1265503750 1392054125 1590919000 1988648750 2227286600 2531007500 2784108250 3977297500 5062015000 5568216500 6960270625 7954595000 11136433000 13920541250 27841082500 55682165000