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51020525250 = 2325337360793
BaseRepresentation
bin101111100001000011…
…110110111011000010
311212200201010020002100
4233201003312323002
51313442223302000
635234414531230
73454223211012
oct574103667302
9155621106070
1051020525250
111a701835852
129a7a806b16
134a71315416
1426800a1c42
1514d927ca00
hexbe10f6ec2

51020525250 has 96 divisors (see below), whose sum is σ = 138331640304. Its totient is φ = 13568774400.

The previous prime is 51020525203. The next prime is 51020525377. The reversal of 51020525250 is 5252502015.

51020525250 is a `hidden beast` number, since 510 + 2 + 0 + 52 + 52 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4895660961 + 46124864289 = 69969^2 + 214767^2 .

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 47 ways as a sum of consecutive naturals, for example, 808854 + ... + 869646.

Almost surely, 251020525250 is an apocalyptic number.

51020525250 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 51020525250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69165820152).

51020525250 is an abundant number, since it is smaller than the sum of its proper divisors (87311115054).

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

51020525250 is a wasteful number, since it uses less digits than its factorization.

51020525250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61189 (or 61176 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The spelling of 51020525250 in words is "fifty-one billion, twenty million, five hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 373 375 450 746 750 1119 1125 1865 2238 2250 3357 3730 5595 6714 9325 11190 16785 18650 27975 33570 46625 55950 60793 83925 93250 121586 139875 167850 182379 279750 303965 364758 419625 547137 607930 839250 911895 1094274 1519825 1823790 2735685 3039650 4559475 5471370 7599125 9118950 13678425 15198250 22675789 22797375 27356850 45351578 45594750 68027367 68392125 113378945 136054734 136784250 204082101 226757890 340136835 408164202 566894725 680273670 1020410505 1133789450 1700684175 2040821010 2834473625 3401368350 5102052525 5668947250 8503420875 10204105050 17006841750 25510262625 51020525250