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5466504416 = 25412151673
BaseRepresentation
bin1010001011101010…
…00011110011100000
3112002222012012022112
411011311003303200
542143411120131
62302234054452
7252315343442
oct50565036340
915088165275
105466504416
11235577674a
12108687a428
136916b68c9
1439c018492
1521eda502b
hex145d43ce0

5466504416 has 72 divisors (see below), whose sum is σ = 11120627952. Its totient is φ = 2644992000.

The previous prime is 5466504397. The next prime is 5466504427. The reversal of 5466504416 is 6144056645.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8122256 + ... + 8122928.

It is an arithmetic number, because the mean of its divisors is an integer number (154453166).

Almost surely, 25466504416 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 5466504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560313976).

5466504416 is an abundant number, since it is smaller than the sum of its proper divisors (5654123536).

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

5466504416 is a wasteful number, since it uses less digits than its factorization.

5466504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 5466504416 is about 73935.8128108429. The cubic root of 5466504416 is about 1761.5835025539.

The spelling of 5466504416 in words is "five billion, four hundred sixty-six million, five hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 151 164 302 328 604 656 673 1208 1312 1346 1681 2416 2692 3362 4832 5384 6191 6724 10768 12382 13448 21536 24764 26896 27593 49528 53792 55186 99056 101623 110372 198112 203246 220744 253831 406492 441488 507662 812984 882976 1015324 1131313 1625968 2030648 2262626 3251936 4061296 4166543 4525252 8122592 8333086 9050504 16666172 18101008 33332344 36202016 66664688 133329376 170828263 341656526 683313052 1366626104 2733252208 5466504416