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6069079872 = 26345772029
BaseRepresentation
bin1011010011011111…
…01100111101000000
3120122222001012110000
411221233230331000
544412141023442
62442121240000
7303253220262
oct55157547500
916588035400
106069079872
112634923599
121214633000
137594a482b
14418071b32
15257c30d4c
hex169becf40

6069079872 has 140 divisors (see below), whose sum is σ = 18030715780. Its totient is φ = 2018525184.

The previous prime is 6069079847. The next prime is 6069079879. The reversal of 6069079872 is 2789709606.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 44836416 = 77616^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6069079879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2990154 + ... + 2992182.

It is an arithmetic number, because the mean of its divisors is an integer number (128790827).

Almost surely, 26069079872 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 6069079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015357890).

6069079872 is an abundant number, since it is smaller than the sum of its proper divisors (11961635908).

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

6069079872 is a wasteful number, since it uses less digits than its factorization.

6069079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6069079872 is about 77904.2994448959. The cubic root of 6069079872 is about 1824.0676913937.

The spelling of 6069079872 in words is "six billion, sixty-nine million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 577 648 864 1154 1296 1728 1731 2029 2308 2592 3462 4058 4616 5184 5193 6087 6924 8116 9232 10386 12174 13848 15579 16232 18261 18464 20772 24348 27696 31158 32464 36522 36928 41544 46737 48696 54783 55392 62316 64928 73044 83088 93474 97392 109566 110784 124632 129856 146088 164349 166176 186948 194784 219132 249264 292176 328698 332352 373896 389568 438264 498528 584352 657396 747792 876528 997056 1168704 1170733 1314792 1495584 1753056 2341466 2629584 2991168 3506112 3512199 4682932 5259168 7024398 9365864 10518336 10536597 14048796 18731728 21073194 28097592 31609791 37463456 42146388 56195184 63219582 74926912 84292776 94829373 112390368 126439164 168585552 189658746 224780736 252878328 337171104 379317492 505756656 674342208 758634984 1011513312 1517269968 2023026624 3034539936 6069079872