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5468510880 = 25355771283
BaseRepresentation
bin1010001011111001…
…01101101010100000
3112010002222010200000
411011330231222200
542144414322010
62302345100000
7252341401260
oct50574555240
915102863600
105468510880
112356917188
121087487600
13691c39c71
1439c3bb7a0
1522014e7c0
hex145f2daa0

5468510880 has 576 divisors, whose sum is σ = 22507849728. Its totient is φ = 1227985920.

The previous prime is 5468510869. The next prime is 5468510881. The reversal of 5468510880 is 880158645.

5468510880 is a `hidden beast` number, since 5 + 468 + 5 + 108 + 80 = 666.

It is a super-2 number, since 2×54685108802 = 59809222489356748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5468510881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19323219 + ... + 19323501.

It is an arithmetic number, because the mean of its divisors is an integer number (39076128).

Almost surely, 25468510880 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 5468510880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253924864).

5468510880 is an abundant number, since it is smaller than the sum of its proper divisors (17039338848).

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

5468510880 is a wasteful number, since it uses less digits than its factorization.

5468510880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5468510880 is about 73949.3805247887. The cubic root of 5468510880 is about 1761.7990041647.

The spelling of 5468510880 in words is "five billion, four hundred sixty-eight million, five hundred ten thousand, eight hundred eighty".