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38428383312 = 24331117475693
BaseRepresentation
bin100011110010100000…
…101001100001010000
310200012010210010201000
4203302200221201100
51112200131231222
625353113342000
72530201603644
oct436240514120
9120163703630
1038428383312
111532a903180
127545707900
1338155a6967
141c07984c24
15eeda429ac
hex8f2829850

38428383312 has 160 divisors (see below), whose sum is σ = 127409880960. Its totient is φ = 10959943680.

The previous prime is 38428383311. The next prime is 38428383313. The reversal of 38428383312 is 21338382483.

38428383312 is a `hidden beast` number, since 38 + 4 + 283 + 8 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38428383311) and next prime (38428383313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38428383311) 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 31 ways as a sum of consecutive naturals, for example, 157063 + ... + 318630.

It is an arithmetic number, because the mean of its divisors is an integer number (796311756).

Almost surely, 238428383312 is an apocalyptic number.

It is an amenable number.

38428383312 is an abundant number, since it is smaller than the sum of its proper divisors (88981497648).

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

38428383312 is a wasteful number, since it uses less digits than its factorization.

38428383312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475738 (or 475726 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 38428383312 in words is "thirty-eight billion, four hundred twenty-eight million, three hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 80784 475693 951386 1427079 1902772 2854158 3805544 4281237 5232623 5708316 7611088 8086781 8562474 10465246 11416632 12843711 15697869 16173562 17124948 20930492 22833264 24260343 25687422 31395738 32347124 34249896 41860984 47093607 48520686 51374844 62791476 64694248 68499792 72781029 83721968 88954591 94187214 97041372 102749688 125582952 129388496 141280821 145562058 177909182 188374428 194082744 205499376 218343087 251165904 266863773 282561642 291124116 355818364 376748856 388165488 436686174 533727546 565123284 582248232 711636728 753497712 800591319 873372348 1067455092 1130246568 1164496464 1423273456 1601182638 1746744696 2134910184 2260493136 2401773957 3202365276 3493489392 4269820368 4803547914 6404730552 9607095828 12809461104 19214191656 38428383312