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3812942848 = 210111322003
BaseRepresentation
bin1110001101000100…
…1110010000000000
3100211201201120021111
43203101032100000
530302103132343
61430204333104
7163326323311
oct34321162000
910751646244
103812942848
111687341440
128a4b44194
13489c49600
14282580608
15174b25c9d
hexe344e400

3812942848 has 132 divisors (see below), whose sum is σ = 9008404848. Its totient is φ = 1599037440.

The previous prime is 3812942807. The next prime is 3812942849. The reversal of 3812942848 is 8482492183.

It is a super-2 number, since 2×38129428482 = 29077066324228702208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3812942849) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1902615 + ... + 1904617.

Almost surely, 23812942848 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 3812942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504202424).

3812942848 is an abundant number, since it is smaller than the sum of its proper divisors (5195462000).

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

3812942848 is a wasteful number, since it uses less digits than its factorization.

3812942848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2029 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The square root of 3812942848 is about 61749.0311502942. The cubic root of 3812942848 is about 1562.2604267825.

The spelling of 3812942848 in words is "three billion, eight hundred twelve million, nine hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 338 352 416 512 572 676 704 832 1024 1144 1352 1408 1664 1859 2003 2288 2704 2816 3328 3718 4006 4576 5408 5632 6656 7436 8012 9152 10816 11264 13312 14872 16024 18304 21632 22033 26039 29744 32048 36608 43264 44066 52078 59488 64096 73216 86528 88132 104156 118976 128192 146432 173056 176264 208312 237952 256384 286429 338507 352528 416624 475904 512768 572858 677014 705056 833248 951808 1025536 1145716 1354028 1410112 1666496 1903616 2051072 2291432 2708056 2820224 3332992 3723577 4582864 5416112 5640448 6665984 7447154 9165728 10832224 11280896 13331968 14894308 18331456 21664448 22561792 26663936 29788616 36662912 43328896 59577232 73325824 86657792 119154464 146651648 173315584 238308928 293303296 346631168 476617856 953235712 1906471424 3812942848