Search a number
-
+
5345998896 = 243726360497
BaseRepresentation
bin1001111101010010…
…10111100000110000
3111210120102212211010
410332221113200300
541422033431041
62242251150520
7246323145420
oct47651274060
914716385733
105345998896
1122a374a107
121052445440
13672743874
1438a00a480
152144eea16
hex13ea57830

5345998896 has 80 divisors (see below), whose sum is σ = 15843700224. Its totient is φ = 1521595392.

The previous prime is 5345998873. The next prime is 5345998901. The reversal of 5345998896 is 6988995435.

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, 58120 + ... + 118616.

Almost surely, 25345998896 is an apocalyptic number.

5345998896 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 5345998896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921850112).

5345998896 is an abundant number, since it is smaller than the sum of its proper divisors (10497701328).

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

5345998896 is a wasteful number, since it uses less digits than its factorization.

5345998896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60778 (or 60772 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 66.

The square root of 5345998896 is about 73116.3380921118. The cubic root of 5345998896 is about 1748.5428846118.

The spelling of 5345998896 in words is "five billion, three hundred forty-five million, nine hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 263 336 526 789 1052 1578 1841 2104 3156 3682 4208 5523 6312 7364 11046 12624 14728 22092 29456 44184 60497 88368 120994 181491 241988 362982 423479 483976 725964 846958 967952 1270437 1451928 1693916 2540874 2903856 3387832 5081748 6775664 10163496 15910711 20326992 31821422 47732133 63642844 95464266 111374977 127285688 190928532 222749954 254571376 334124931 381857064 445499908 668249862 763714128 890999816 1336499724 1781999632 2672999448 5345998896