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6107133864 = 2331337737247
BaseRepresentation
bin1011011000000001…
…10111011110101000
3120202121122112201010
411230000313132220
5100001411240424
62450001023520
7304224531666
oct55400673650
916677575633
106107133864
112654355077
121225324ba0
137643396a0
1441d139c36
1525b24b229
hex16c0377a8

6107133864 has 128 divisors (see below), whose sum is σ = 17120355840. Its totient is φ = 1803036672.

The previous prime is 6107133853. The next prime is 6107133913. The reversal of 6107133864 is 4683317016.

It is a super-3 number, since 3×61071338643 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839089 + ... + 846335.

It is an arithmetic number, because the mean of its divisors is an integer number (133752780).

Almost surely, 26107133864 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 6107133864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560177920).

6107133864 is an abundant number, since it is smaller than the sum of its proper divisors (11013221976).

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

6107133864 is a wasteful number, since it uses less digits than its factorization.

6107133864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6107133864 is about 78148.1532987185. The cubic root of 6107133864 is about 1827.8721387169.

The spelling of 6107133864 in words is "six billion, one hundred seven million, one hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 73 74 78 104 111 146 148 156 219 222 292 296 312 438 444 481 584 876 888 949 962 1443 1752 1898 1924 2701 2847 2886 3796 3848 5402 5694 5772 7247 7592 8103 10804 11388 11544 14494 16206 21608 21741 22776 28988 32412 35113 43482 57976 64824 70226 86964 94211 105339 140452 173928 188422 210678 268139 280904 282633 376844 421356 529031 536278 565266 753688 804417 842712 1058062 1072556 1130532 1587093 1608834 2116124 2145112 2261064 3174186 3217668 3485807 4232248 6348372 6435336 6877403 6971614 10457421 12696744 13754806 13943228 19574147 20632209 20914842 27509612 27886456 39148294 41264418 41829684 55019224 58722441 78296588 82528836 83659368 117444882 156593176 165057672 234889764 254463911 469779528 508927822 763391733 1017855644 1526783466 2035711288 3053566932 6107133864