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5613399520 = 255195033671
BaseRepresentation
bin1010011101001010…
…11010110111100000
3112111012121020111221
411032211122313200
542444012241040
62325002344424
7256051052161
oct51645326740
915435536457
105613399520
112420688163
121107abb114
136b5c694a1
143b3735768
1522cc1e74a
hex14e95ade0

5613399520 has 96 divisors (see below), whose sum is σ = 13991201280. Its totient is φ = 2122375680.

The previous prime is 5613399497. The next prime is 5613399521. The reversal of 5613399520 is 259933165.

It is a super-2 number, since 2×56133995202 = 63020508342272460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5613399521) 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, 1527285 + ... + 1530955.

It is an arithmetic number, because the mean of its divisors is an integer number (145741680).

Almost surely, 25613399520 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 5613399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995600640).

5613399520 is an abundant number, since it is smaller than the sum of its proper divisors (8377801760).

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

5613399520 is a wasteful number, since it uses less digits than its factorization.

5613399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 5613399520 is about 74922.6235525692. The cubic root of 5613399520 is about 1777.2232428544.

The spelling of 5613399520 in words is "five billion, six hundred thirteen million, three hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 503 608 760 1006 1520 2012 2515 3040 3671 4024 5030 7342 8048 9557 10060 14684 16096 18355 19114 20120 29368 36710 38228 40240 47785 58736 69749 73420 76456 80480 95570 117472 139498 146840 152912 191140 278996 293680 305824 348745 382280 557992 587360 697490 764560 1115984 1394980 1529120 1846513 2231968 2789960 3693026 5579920 7386052 9232565 11159840 14772104 18465130 29544208 35083747 36930260 59088416 70167494 73860520 140334988 147721040 175418735 280669976 295442080 350837470 561339952 701674940 1122679904 1403349880 2806699760 5613399520