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5429565456 = 243716796763
BaseRepresentation
bin1010000111010000…
…01001100000010000
3112000101200111120220
411003220021200100
542104432043311
62254434233040
7251356354620
oct50350114020
915011614526
105429565456
112336936987
121076425780
13686b52433
14397160880
1521ba0a206
hex143a09810

5429565456 has 80 divisors (see below), whose sum is σ = 16126301184. Its totient is φ = 1541999232.

The previous prime is 5429565431. The next prime is 5429565469. The reversal of 5429565456 is 6545659245.

It is a junction number, because it is equal to n+sod(n) for n = 5429565399 and 5429565408.

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, 7731 + ... + 104493.

Almost surely, 25429565456 is an apocalyptic number.

5429565456 is a gapful number since it is divisible by the number (56) 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 5429565456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063150592).

5429565456 is an abundant number, since it is smaller than the sum of its proper divisors (10696735728).

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

5429565456 is a wasteful number, since it uses less digits than its factorization.

5429565456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96948 (or 96942 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 51.

The square root of 5429565456 is about 73685.5851303360. The cubic root of 5429565456 is about 1757.6066659798.

The spelling of 5429565456 in words is "five billion, four hundred twenty-nine million, five hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 2004 2338 2672 3507 4008 4676 7014 8016 9352 14028 18704 28056 56112 96763 193526 290289 387052 580578 677341 774104 1161156 1354682 1548208 2032023 2322312 2709364 4064046 4644624 5418728 8128092 10837456 16159421 16256184 32318842 32512368 48478263 64637684 96956526 113115947 129275368 193913052 226231894 258550736 339347841 387826104 452463788 678695682 775652208 904927576 1357391364 1809855152 2714782728 5429565456