Search a number
-
+
5087612500 = 22553531153
BaseRepresentation
bin1001011110011111…
…01100111001010100
3111010120020111022121
410233033230321110
540404412100000
62200501105324
7240034664335
oct45717547124
914116214277
105087612500
112180908633
12b9b9b8244
13631055bc9
1436398a28c
151eb9b0b1a
hex12f3ece54

5087612500 has 72 divisors (see below), whose sum is σ = 11169644472. Its totient is φ = 2027520000.

The previous prime is 5087612479. The next prime is 5087612527. The reversal of 5087612500 is 52167805.

It can be written as a sum of positive squares in 12 ways, for example, as 4980407184 + 107205316 = 70572^2 + 10354^2 .

It is a sliding number, since 5087612500 = 204800000 + 4882812500 and 1/204800000 + 1/4882812500 = 0.000000005087612500.

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 23 ways as a sum of consecutive naturals, for example, 4411924 + ... + 4413076.

It is an arithmetic number, because the mean of its divisors is an integer number (155133951).

Almost surely, 25087612500 is an apocalyptic number.

5087612500 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 5087612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584822236).

5087612500 is an abundant number, since it is smaller than the sum of its proper divisors (6082031972).

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

5087612500 is a wasteful number, since it uses less digits than its factorization.

5087612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 5087612500 is about 71327.5017086677. The cubic root of 5087612500 is about 1719.9058561235.

The spelling of 5087612500 in words is "five billion, eighty-seven million, six hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 353 500 625 706 1153 1250 1412 1765 2306 2500 3125 3530 4612 5765 6250 7060 8825 11530 12500 17650 23060 28825 35300 44125 57650 88250 115300 144125 176500 220625 288250 407009 441250 576500 720625 814018 882500 1103125 1441250 1628036 2035045 2206250 2882500 3603125 4070090 4412500 7206250 8140180 10175225 14412500 20350450 40700900 50876125 101752250 203504500 254380625 508761250 1017522500 1271903125 2543806250 5087612500