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8148182848 = 261331615179
BaseRepresentation
bin1111001011010101…
…10110011101000000
3210000212020120112221
413211222312131000
5113141413322343
63424311500424
7405630261061
oct74552663500
923025216487
108148182848
113501489413
1216b4987714
139cb156b90
1457423c568
1532a51b5ed
hex1e5ab6740

8148182848 has 112 divisors (see below), whose sum is σ = 18272719360. Its totient is φ = 3579033600.

The previous prime is 8148182831. The next prime is 8148182857. The reversal of 8148182848 is 8482818418.

It is a super-2 number, since 2×81481828482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8148182795 and 8148182804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570723 + ... + 1575901.

It is an arithmetic number, because the mean of its divisors is an integer number (163149280).

Almost surely, 28148182848 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 8148182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136359680).

8148182848 is an abundant number, since it is smaller than the sum of its proper divisors (10124536512).

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

8148182848 is a wasteful number, since it uses less digits than its factorization.

8148182848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5286 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 52.

The square root of 8148182848 is about 90267.2855911819. The cubic root of 8148182848 is about 2012.2731020921.

The spelling of 8148182848 in words is "eight billion, one hundred forty-eight million, one hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 61 62 64 104 122 124 208 244 248 403 416 488 496 793 806 832 976 992 1586 1612 1891 1952 1984 3172 3224 3782 3904 5179 6344 6448 7564 10358 12688 12896 15128 20716 24583 25376 25792 30256 41432 49166 50752 60512 67327 82864 98332 121024 134654 160549 165728 196664 269308 315919 321098 331456 393328 538616 631838 642196 786656 1077232 1263676 1284392 1573312 2087137 2154464 2527352 2568784 4106947 4174274 4308928 5054704 5137568 8213894 8348548 9793489 10109408 10275136 16427788 16697096 19586978 20218816 32855576 33394192 39173956 65711152 66788384 78347912 127315357 131422304 133576768 156695824 254630714 262844608 313391648 509261428 626783296 1018522856 2037045712 4074091424 8148182848