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2153714544 = 243283367491
BaseRepresentation
bin1000000001011111…
…0001001101110000
312120002121000221100
42000113301031300
513402322331134
6553413324400
7104241162102
oct20027611560
95502530840
102153714544
11a05796683
12501336700
13284276c07
1416606d572
15c9127999
hex805f1370

2153714544 has 120 divisors (see below), whose sum is σ = 6129107712. Its totient is φ = 705882240.

The previous prime is 2153714533. The next prime is 2153714561. The reversal of 2153714544 is 4454173512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2153714499 and 2153714508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386139 + ... + 4386629.

Almost surely, 22153714544 is an apocalyptic number.

2153714544 is a gapful number since it is divisible by the number (24) 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 2153714544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064553856).

2153714544 is an abundant number, since it is smaller than the sum of its proper divisors (3975393168).

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

2153714544 is a wasteful number, since it uses less digits than its factorization.

2153714544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 2153714544 is about 46408.1301497916. The cubic root of 2153714544 is about 1291.4057435765.

The spelling of 2153714544 in words is "two billion, one hundred fifty-three million, seven hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 367 491 498 664 734 747 982 996 1101 1328 1468 1473 1494 1964 1992 2202 2936 2946 2988 3303 3928 3984 4404 4419 5872 5892 5976 6606 7856 8808 8838 11784 11952 13212 17616 17676 23568 26424 30461 35352 40753 52848 60922 70704 81506 91383 121844 122259 163012 180197 182766 243688 244518 274149 326024 360394 365532 366777 487376 489036 540591 548298 652048 720788 731064 733554 978072 1081182 1096596 1441576 1462128 1467108 1621773 1956144 2162364 2193192 2883152 2934216 3243546 4324728 4386384 5868432 6487092 8649456 12974184 14956351 25948368 29912702 44869053 59825404 89738106 119650808 134607159 179476212 239301616 269214318 358952424 538428636 717904848 1076857272 2153714544