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2148261714 = 232196439769
BaseRepresentation
bin1000000000001011…
…1101111101010010
312112201100000001200
42000002331331102
513344423333324
6553100412030
7104143631454
oct20002757522
95481300050
102148261714
11a02701905
124bb547016
132830b7ca1
141654502d4
15c88ebec9
hex800bdf52

2148261714 has 48 divisors (see below), whose sum is σ = 4907666400. Its totient is φ = 677274048.

The previous prime is 2148261701. The next prime is 2148261721. The reversal of 2148261714 is 4171628412.

It is a happy number.

2148261714 is a `hidden beast` number, since 2 + 1 + 482 + 6 + 171 + 4 = 666.

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, 215022 + ... + 224790.

It is an arithmetic number, because the mean of its divisors is an integer number (102243050).

Almost surely, 22148261714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148261714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453833200).

2148261714 is an abundant number, since it is smaller than the sum of its proper divisors (2759404686).

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

2148261714 is a wasteful number, since it uses less digits than its factorization.

2148261714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10436 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2148261714 is about 46349.3442672062. The cubic root of 2148261714 is about 1290.3149510421.

The spelling of 2148261714 in words is "two billion, one hundred forty-eight million, two hundred sixty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 643 1286 1929 3858 5787 9769 11574 12217 19538 24434 29307 36651 58614 73302 87921 109953 175842 185611 219906 371222 556833 1113666 1670499 3340998 6281467 12562934 18844401 37688802 56533203 113066406 119347873 238695746 358043619 716087238 1074130857 2148261714