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6069812640 = 253588314321
BaseRepresentation
bin1011010011100100…
…11111110110100000
3120200000102102121120
411221302133312200
544412333001030
62442145052240
7303262361523
oct55162376640
916600372546
106069812640
112635284091
121214927080
137596a0218
144181c2bba
15257d28010
hex169c9fda0

6069812640 has 96 divisors (see below), whose sum is σ = 19142899776. Its totient is φ = 1616670720.

The previous prime is 6069812611. The next prime is 6069812653. The reversal of 6069812640 is 462189606.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6069812592 and 6069812601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416680 + ... + 431000.

It is an arithmetic number, because the mean of its divisors is an integer number (199405206).

Almost surely, 26069812640 is an apocalyptic number.

6069812640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6069812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571449888).

6069812640 is an abundant number, since it is smaller than the sum of its proper divisors (13073087136).

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

6069812640 is a wasteful number, since it uses less digits than its factorization.

6069812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6069812640 is about 77909.0023039700. The cubic root of 6069812640 is about 1824.1410998110.

The spelling of 6069812640 in words is "six billion, sixty-nine million, eight hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 883 1766 2649 3532 4415 5298 7064 8830 10596 13245 14128 14321 17660 21192 26490 28256 28642 35320 42384 42963 52980 57284 70640 71605 84768 85926 105960 114568 141280 143210 171852 211920 214815 229136 286420 343704 423840 429630 458272 572840 687408 859260 1145680 1374816 1718520 2291360 3437040 6874080 12645443 25290886 37936329 50581772 63227215 75872658 101163544 126454430 151745316 189681645 202327088 252908860 303490632 379363290 404654176 505817720 606981264 758726580 1011635440 1213962528 1517453160 2023270880 3034906320 6069812640