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5991998464 = 210412592
BaseRepresentation
bin1011001010010011…
…01010010000000000
3120110121000001122001
411211021222100000
544232422422324
62430325153344
7301326101164
oct54511522000
916417001561
105991998464
1125a5366151
1211b285b854
13746526a2a
1440bb28ca4
152510a6e44
hex16526a400

5991998464 has 99 divisors (see below), whose sum is σ = 12489039721. Its totient is φ = 2873384960.

The previous prime is 5991998437. The next prime is 5991998477. The reversal of 5991998464 is 4648991995.

The square root of 5991998464 is 77408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 5703270400 = 16992^2 + 75520^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5991998396 and 5991998405.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 101559267 + ... + 101559325.

Almost surely, 25991998464 is an apocalyptic number.

5991998464 is the 77408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5991998464

5991998464 is an abundant number, since it is smaller than the sum of its proper divisors (6497041257).

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

5991998464 is an frugal number, since it uses more digits than its factorization.

5991998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 102 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 64.

The cubic root of 5991998464 is about 1816.3124692773.

Multiplying 5991998464 by its sum of digits (64), we get a square (383487901696 = 6192642).

5991998464 divided by its sum of digits (64) gives a square (93624976 = 96762).

The spelling of 5991998464 in words is "five billion, nine hundred ninety-one million, nine hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 59 64 82 118 128 164 236 256 328 472 512 656 944 1024 1312 1681 1888 2419 2624 3362 3481 3776 4838 5248 6724 6962 7552 9676 10496 13448 13924 15104 19352 20992 26896 27848 30208 38704 41984 53792 55696 60416 77408 99179 107584 111392 142721 154816 198358 215168 222784 285442 309632 396716 430336 445568 570884 619264 793432 860672 891136 1141768 1238528 1586864 1721344 1782272 2283536 2477056 3173728 3564544 4567072 5851561 6347456 9134144 11703122 12694912 18268288 23406244 25389824 36536576 46812488 50779648 73073152 93624976 101559296 146146304 187249952 374499904 748999808 1497999616 2995999232 5991998464