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5106239250 = 235374322619
BaseRepresentation
bin1001100000101101…
…10000011100010010
3111011212021211102020
410300112300130102
540424144124000
62202404232310
7240352213620
oct46026603422
914155254366
105106239250
112190380142
12ba609b696
13634b78258
14366238510
151ed43eba0
hex1305b0712

5106239250 has 128 divisors (see below), whose sum is σ = 14905313280. Its totient is φ = 1139947200.

The previous prime is 5106239249. The next prime is 5106239287. The reversal of 5106239250 is 529326015.

It is a super-3 number, since 3×51062392503 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214441 + ... + 237059.

It is an arithmetic number, because the mean of its divisors is an integer number (116447760).

Almost surely, 25106239250 is an apocalyptic number.

5106239250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106239250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452656640).

5106239250 is an abundant number, since it is smaller than the sum of its proper divisors (9799074030).

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

5106239250 is a wasteful number, since it uses less digits than its factorization.

5106239250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22689 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 5106239250 is about 71457.9544207641. The cubic root of 5106239250 is about 1722.0022709431.

The spelling of 5106239250 in words is "five billion, one hundred six million, two hundred thirty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 125 129 150 175 210 215 250 258 301 350 375 430 525 602 645 750 875 903 1050 1075 1290 1505 1750 1806 2150 2625 3010 3225 4515 5250 5375 6450 7525 9030 10750 15050 16125 22575 22619 32250 37625 45150 45238 67857 75250 112875 113095 135714 158333 225750 226190 316666 339285 474999 565475 678570 791665 949998 972617 1130950 1583330 1696425 1945234 2374995 2827375 2917851 3392850 3958325 4749990 4863085 5654750 5835702 6808319 7916650 8482125 9726170 11874975 13616638 14589255 16964250 19791625 20424957 23749950 24315425 29178510 34041595 39583250 40849914 48630850 59374875 68083190 72946275 102124785 118749750 121577125 145892550 170207975 204249570 243154250 340415950 364731375 510623925 729462750 851039875 1021247850 1702079750 2553119625 5106239250