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5406216384 = 26349157347
BaseRepresentation
bin1010000100011110…
…00101000011000000
3111221202202020200110
411002033011003000
542032442411014
62252241551320
7250654036542
oct50217050300
914852666613
105406216384
112324739428
12106a645540
1368206880a
14394003692
15219946d59
hex1423c50c0

5406216384 has 56 divisors (see below), whose sum is σ = 14333329728. Its totient is φ = 1798370560.

The previous prime is 5406216383. The next prime is 5406216451. The reversal of 5406216384 is 4836126045.

It is a super-3 number, since 3×54062163843 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5406216383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65599 + ... + 122945.

Almost surely, 25406216384 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 5406216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166664864).

5406216384 is an abundant number, since it is smaller than the sum of its proper divisors (8927113344).

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

5406216384 is a wasteful number, since it uses less digits than its factorization.

5406216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57853 (or 57843 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5406216384 is about 73526.9772532504. The cubic root of 5406216384 is about 1755.0836002091.

The spelling of 5406216384 in words is "five billion, four hundred six million, two hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 31424 47136 57347 94272 114694 172041 229388 344082 458776 688164 917552 1376328 1835104 2752656 3670208 5505312 11010624 28157377 56314754 84472131 112629508 168944262 225259016 337888524 450518032 675777048 901036064 1351554096 1802072128 2703108192 5406216384