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5122413520 = 245729331219
BaseRepresentation
bin1001100010101000…
…11101001111010000
3111012222201120100021
410301110131033100
540442314213040
62204143033224
7240636540130
oct46124351720
914188646307
105122413520
112199518104
12bab59b814
1363831c223
14368448ac0
151eea8724a
hex13151d3d0

5122413520 has 80 divisors (see below), whose sum is σ = 13657875840. Its totient is φ = 1750205952.

The previous prime is 5122413481. The next prime is 5122413563. The reversal of 5122413520 is 253142215.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148471 + ... + 179689.

It is an arithmetic number, because the mean of its divisors is an integer number (170723448).

Almost surely, 25122413520 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 5122413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828937920).

5122413520 is an abundant number, since it is smaller than the sum of its proper divisors (8535462320).

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

5122413520 is a wasteful number, since it uses less digits than its factorization.

5122413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31532 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5122413520 is about 71571.0382766661. The cubic root of 5122413520 is about 1723.8185308998.

Adding to 5122413520 its reverse (253142215), we get a palindrome (5375555735).

It can be divided in two parts, 5 and 122413520, that multiplied together give a square (612067600 = 247402).

The spelling of 5122413520 in words is "five billion, one hundred twenty-two million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8204 10255 11720 16408 20510 23440 31219 32816 41020 62438 82040 124876 156095 164080 218533 249752 312190 437066 499504 624380 874132 1092665 1248760 1748264 2185330 2497520 3496528 4370660 8741320 9147167 17482640 18294334 36588668 45735835 64030169 73177336 91471670 128060338 146354672 182943340 256120676 320150845 365886680 512241352 640301690 731773360 1024482704 1280603380 2561206760 5122413520