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3853365138 = 2327832291609
BaseRepresentation
bin1110010110101101…
…1010111110010010
3100221112210020020100
43211223122332102
530342430141023
61434210553230
7164330030460
oct34553327622
910845706210
103853365138
1116a8140297
128b6598816
1349543041c
14287aa3830
1517845cc43
hexe5adaf92

3853365138 has 96 divisors (see below), whose sum is σ = 9704822400. Its totient is φ = 1082274048.

The previous prime is 3853365137. The next prime is 3853365143. The reversal of 3853365138 is 8315633583.

3853365138 is a `hidden beast` number, since 38 + 533 + 6 + 51 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3853365093 and 3853365102.

It is not an unprimeable number, because it can be changed into a prime (3853365137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394078 + ... + 2395686.

It is an arithmetic number, because the mean of its divisors is an integer number (101091900).

Almost surely, 23853365138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853365138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852411200).

3853365138 is an abundant number, since it is smaller than the sum of its proper divisors (5851457262).

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

3853365138 is a wasteful number, since it uses less digits than its factorization.

3853365138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1933 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3853365138 is about 62075.4793618221. The cubic root of 3853365138 is about 1567.7617148076.

The spelling of 3853365138 in words is "three billion, eight hundred fifty-three million, three hundred sixty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 229 249 458 498 581 687 747 1162 1374 1494 1603 1609 1743 2061 3206 3218 3486 4122 4809 4827 5229 9618 9654 10458 11263 14427 14481 19007 22526 28854 28962 33789 38014 57021 67578 101367 114042 133049 133547 171063 202734 266098 267094 342126 368461 399147 400641 736922 798294 801282 934829 1105383 1197441 1201923 1869658 2210766 2394882 2403846 2579227 2804487 3316149 5158454 5608974 6632298 7737681 8413461 15475362 16826922 23213043 30582263 46426086 61164526 91746789 183493578 214075841 275240367 428151682 550480734 642227523 1284455046 1926682569 3853365138