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2482178816 = 28136112227
BaseRepresentation
bin1001001111110011…
…0000101100000000
320101222122202012202
42103330300230000
520040414210231
61050145412332
7115340112635
oct22374605400
96358582182
102482178816
111064141757
1259333a0a8
1330732c980
1419793218c
15e7daa5cb
hex93f30b00

2482178816 has 72 divisors (see below), whose sum is σ = 5423704944. Its totient is φ = 1126748160.

The previous prime is 2482178801. The next prime is 2482178819. The reversal of 2482178816 is 6188712842.

It is a super-2 number, since 2×24821788162 = 12322423349198323712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2482178819) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 196895 + ... + 209121.

Almost surely, 22482178816 is an apocalyptic number.

2482178816 is a gapful number since it is divisible by the number (26) 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 2482178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711852472).

2482178816 is an abundant number, since it is smaller than the sum of its proper divisors (2941526128).

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

2482178816 is a wasteful number, since it uses less digits than its factorization.

2482178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12303 counting only the distinct ones).

The product of its digits is 344064, while the sum is 47.

The square root of 2482178816 is about 49821.4694283499. The cubic root of 2482178816 is about 1353.9761724463.

The spelling of 2482178816 in words is "two billion, four hundred eighty-two million, one hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 793 832 976 1586 1664 1952 3172 3328 3904 6344 7808 12227 12688 15616 24454 25376 48908 50752 97816 101504 158951 195632 203008 317902 391264 635804 745847 782528 1271608 1491694 1565056 2543216 2983388 3130112 5086432 5966776 9696011 10172864 11933552 19392022 20345728 23867104 38784044 40691456 47734208 77568088 95468416 155136176 190936832 310272352 620544704 1241089408 2482178816