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52102433000 = 2353179773137
BaseRepresentation
bin110000100001100011…
…000000100011101000
311222111002220211111202
4300201203000203220
51323201210324000
635534023543332
73523101242012
oct604143004350
9158432824452
1052102433000
1120107513092
12a120bbab48
134bb4500117
142743a511b2
15154e23cdd5
hexc218c08e8

52102433000 has 128 divisors (see below), whose sum is σ = 129264763680. Its totient is φ = 19588710400.

The previous prime is 52102432997. The next prime is 52102433003. The reversal of 52102433000 is 33420125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52102432997) and next prime (52102433003).

It can be written as a sum of positive squares in 16 ways, for example, as 15366577444 + 36735855556 = 123962^2 + 191666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (52102433003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16607432 + ... + 16610568.

Almost surely, 252102433000 is an apocalyptic number.

52102433000 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 52102433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64632381840).

52102433000 is an abundant number, since it is smaller than the sum of its proper divisors (77162330680).

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

52102433000 is a wasteful number, since it uses less digits than its factorization.

52102433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 52102433000 its reverse (33420125), we get a palindrome (52135853125).

The spelling of 52102433000 in words is "fifty-two billion, one hundred two million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 977 1000 1700 1954 2125 3137 3400 3908 4250 4885 6274 7816 8500 9770 12548 15685 16609 17000 19540 24425 25096 31370 33218 39080 48850 53329 62740 66436 78425 83045 97700 106658 122125 125480 132872 156850 166090 195400 213316 244250 266645 313700 332180 392125 415225 426632 488500 533290 627400 664360 784250 830450 977000 1066580 1333225 1568500 1660900 2076125 2133160 2666450 3064849 3137000 3321800 4152250 5332900 6129698 6666125 8304500 10665800 12259396 13332250 15324245 16609000 24518792 26664500 30648490 52102433 53329000 61296980 76621225 104204866 122593960 153242450 208409732 260512165 306484900 383106125 416819464 521024330 612969800 766212250 1042048660 1302560825 1532424500 2084097320 2605121650 3064849000 5210243300 6512804125 10420486600 13025608250 26051216500 52102433000