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5179351540 = 2251127784991
BaseRepresentation
bin1001101001011011…
…01010000111110100
3111100221212022121211
410310231222013310
541101403222130
62213535251204
7242230522156
oct46455520764
914327768554
105179351540
112218677520
121006679b04
1364706656c
14371c2aad6
15204a82a2a
hex134b6a1f4

5179351540 has 48 divisors (see below), whose sum is σ = 11908399104. Its totient is φ = 1876579200.

The previous prime is 5179351511. The next prime is 5179351547. The reversal of 5179351540 is 451539715.

It is a junction number, because it is equal to n+sod(n) for n = 5179351493 and 5179351502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179351547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18445 + ... + 103435.

It is an arithmetic number, because the mean of its divisors is an integer number (248091648).

Almost surely, 25179351540 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 5179351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954199552).

5179351540 is an abundant number, since it is smaller than the sum of its proper divisors (6729047564).

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

5179351540 is a wasteful number, since it uses less digits than its factorization.

5179351540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85288 (or 85286 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 40.

The square root of 5179351540 is about 71967.7117879956. The cubic root of 5179351540 is about 1730.1820272455.

The spelling of 5179351540 in words is "five billion, one hundred seventy-nine million, three hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2770 3047 5540 6094 12188 15235 30470 60940 84991 169982 339964 424955 849910 934901 1699820 1869802 3739604 4674505 9349010 18698020 23542507 47085014 94170028 117712535 235425070 258967577 470850140 517935154 1035870308 1294837885 2589675770 5179351540