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5546244816 = 2432731317579
BaseRepresentation
bin1010010101001010…
…01111101011010000
3112022112020102120200
411022211033223100
542324314313231
62314203135200
7254304205650
oct51245175320
915275212520
105546244816
11239678a902
1210a9514500
136a5085a88
143a8854360
15226da6be6
hex14a94fad0

5546244816 has 120 divisors (see below), whose sum is σ = 17796866880. Its totient is φ = 1579488768.

The previous prime is 5546244793. The next prime is 5546244829. The reversal of 5546244816 is 6184426455.

It is a happy number.

5546244816 is a `hidden beast` number, since 5 + 5 + 4 + 624 + 4 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306715 + ... + 324293.

It is an arithmetic number, because the mean of its divisors is an integer number (148307224).

Almost surely, 25546244816 is an apocalyptic number.

5546244816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5546244816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898433440).

5546244816 is an abundant number, since it is smaller than the sum of its proper divisors (12250622064).

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

5546244816 is a wasteful number, since it uses less digits than its factorization.

5546244816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17913 (or 17904 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 5546244816 is about 74473.1147193402. The cubic root of 5546244816 is about 1770.1076483413.

The spelling of 5546244816 in words is "five billion, five hundred forty-six million, two hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 313 336 504 626 939 1008 1252 1878 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 11268 13146 15024 17528 17579 19719 22536 26292 35056 35158 39438 45072 52584 52737 70316 78876 105168 105474 123053 140632 157752 158211 210948 246106 281264 315504 316422 369159 421896 492212 632844 738318 843792 984424 1107477 1265688 1476636 1968848 2214954 2531376 2953272 4429908 5502227 5906544 8859816 11004454 16506681 17719632 22008908 33013362 38515589 44017816 49520043 66026724 77031178 88035632 99040086 115546767 132053448 154062356 198080172 231093534 264106896 308124712 346640301 396160344 462187068 616249424 693280602 792320688 924374136 1386561204 1848748272 2773122408 5546244816