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2154212544 = 263118312289
BaseRepresentation
bin1000000001100110…
…1010110011000000
312120010112100001210
42000121222303000
513402434300134
6553432130120
7104245335021
oct20031526300
95503470053
102154212544
11a05aa6850
12501536940
132843bc7a3
1416615cc48
15c91c52e9
hex8066acc0

2154212544 has 112 divisors (see below), whose sum is σ = 6293266560. Its totient is φ = 644874240.

The previous prime is 2154212531. The next prime is 2154212551. The reversal of 2154212544 is 4452124512.

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 15 ways as a sum of consecutive naturals, for example, 169152 + ... + 181440.

It is an arithmetic number, because the mean of its divisors is an integer number (56189880).

Almost surely, 22154212544 is an apocalyptic number.

2154212544 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 2154212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146633280).

2154212544 is an abundant number, since it is smaller than the sum of its proper divisors (4139054016).

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

2154212544 is a wasteful number, since it uses less digits than its factorization.

2154212544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12388 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2154212544 is about 46413.4952788518. The cubic root of 2154212544 is about 1291.5052724733.

The spelling of 2154212544 in words is "two billion, one hundred fifty-four million, two hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2656 2739 3652 3984 5312 5478 7304 7968 10956 12289 14608 15936 21912 24578 29216 36867 43824 49156 58432 73734 87648 98312 135179 147468 175296 196624 270358 294936 393248 405537 540716 589872 786496 811074 1019987 1081432 1179744 1622148 2039974 2162864 2359488 3059961 3244296 4079948 4325728 6119922 6488592 8159896 8651456 11219857 12239844 12977184 16319792 22439714 24479688 25954368 32639584 33659571 44879428 48959376 65279168 67319142 89758856 97918752 134638284 179517712 195837504 269276568 359035424 538553136 718070848 1077106272 2154212544