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5409556464 = 2431331327697
BaseRepresentation
bin1010000100110111…
…10100011111110000
3111222000000221102010
411002123310133300
542034321301324
62252441322520
7251024320434
oct50233643760
914860027363
105409556464
11232660a924
12106b796440
13682967bb0
143946329c4
15219da6829
hex1426f47f0

5409556464 has 80 divisors (see below), whose sum is σ = 15098290592. Its totient is φ = 1659101184.

The previous prime is 5409556447. The next prime is 5409556487. The reversal of 5409556464 is 4646559045.

It is a super-2 number, since 2×54095564642 = 58526602274408366592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181464 + ... + 209160.

Almost surely, 25409556464 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 5409556464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549145296).

5409556464 is an abundant number, since it is smaller than the sum of its proper divisors (9688734128).

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

5409556464 is a wasteful number, since it uses less digits than its factorization.

5409556464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034 (or 28028 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The square root of 5409556464 is about 73549.6870421622. The cubic root of 5409556464 is about 1755.4449689484. Note that the first 3 decimals are identical.

The spelling of 5409556464 in words is "five billion, four hundred nine million, five hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 313 624 626 939 1252 1878 2504 3756 4069 5008 7512 8138 12207 15024 16276 24414 27697 32552 48828 55394 65104 83091 97656 110788 166182 195312 221576 332364 360061 443152 664728 720122 1080183 1329456 1440244 2160366 2880488 4320732 5760976 8641464 8669161 17282928 17338322 26007483 34676644 52014966 69353288 104029932 112699093 138706576 208059864 225398186 338097279 416119728 450796372 676194558 901592744 1352389116 1803185488 2704778232 5409556464