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2154536648 = 2311211319697
BaseRepresentation
bin1000000001101011…
…1001111011001000
312120011010210122122
42000122321323020
513403030133043
6553443110412
7104251154645
oct20032717310
95504123578
102154536648
11a061a8300
12501672408
132844a4174
14166204dcc
15c923b368
hex806b9ec8

2154536648 has 48 divisors (see below), whose sum is σ = 4479916140. Its totient is φ = 970618880.

The previous prime is 2154536647. The next prime is 2154536651. The reversal of 2154536648 is 8466354512.

It can be written as a sum of positive squares in 2 ways, for example, as 1601440324 + 553096324 = 40018^2 + 23518^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2154536599 and 2154536608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154536647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99536 + ... + 119232.

Almost surely, 22154536648 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 2154536648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239958070).

2154536648 is an abundant number, since it is smaller than the sum of its proper divisors (2325379492).

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

2154536648 is a wasteful number, since it uses less digits than its factorization.

2154536648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 19823 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 2154536648 is about 46416.9866320510. The cubic root of 2154536648 is about 1291.5700387589.

The spelling of 2154536648 in words is "two billion, one hundred fifty-four million, five hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 904 968 1243 2486 4972 9944 13673 19697 27346 39394 54692 78788 109384 157576 216667 433334 866668 1733336 2225761 2383337 4451522 4766674 8903044 9533348 17806088 19066696 24483371 48966742 97933484 195866968 269317081 538634162 1077268324 2154536648