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5126743840 = 2551012811129
BaseRepresentation
bin1001100011001001…
…11110011100100000
3111020021212120102111
410301210332130200
540444421300330
62204415525104
7241021414021
oct46144763440
914207776374
105126743840
1121a0a05589
12bb0b29794
136391a724a
14368c54c48
1520014032a
hex13193e720

5126743840 has 96 divisors (see below), whose sum is σ = 12286254960. Its totient is φ = 2021376000.

The previous prime is 5126743793. The next prime is 5126743847. The reversal of 5126743840 is 483476215.

It can be written as a sum of positive squares in 8 ways, for example, as 2906072464 + 2220671376 = 53908^2 + 47124^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5126743793 and 5126743802.

It is not an unprimeable number, because it can be changed into a prime (5126743847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4540396 + ... + 4541524.

Almost surely, 25126743840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143127480).

5126743840 is an abundant number, since it is smaller than the sum of its proper divisors (7159511120).

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

5126743840 is a wasteful number, since it uses less digits than its factorization.

5126743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 5126743840 is about 71601.2837873735. The cubic root of 5126743840 is about 1724.3041472570.

The spelling of 5126743840 in words is "five billion, one hundred twenty-six million, seven hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 281 404 505 562 808 1010 1124 1129 1405 1616 2020 2248 2258 2810 3232 4040 4496 4516 5620 5645 8080 8992 9032 11240 11290 16160 18064 22480 22580 28381 36128 44960 45160 56762 90320 113524 114029 141905 180640 227048 228058 283810 317249 454096 456116 567620 570145 634498 908192 912232 1135240 1140290 1268996 1586245 1824464 2270480 2280580 2537992 3172490 3648928 4540960 4561160 5075984 6344980 9122320 10151968 12689960 18244640 25379920 32042149 50759840 64084298 128168596 160210745 256337192 320421490 512674384 640842980 1025348768 1281685960 2563371920 5126743840