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6344667802668 = 22313379283337879
BaseRepresentation
bin101110001010011101110…
…1010111010110000101100
3211110112200210211001122010
41130110323222322300230
51312422334424141133
621254411122121220
71223246532332466
oct134247352726054
924415623731563
106344667802668
112026838629a48
128657804b0210
133703b830a870
1417d125409136
15b008cd16263
hex5c53babac2c

6344667802668 has 96 divisors (see below), whose sum is σ = 15991142003200. Its totient is φ = 1946315879424.

The previous prime is 6344667802607. The next prime is 6344667802687. The reversal of 6344667802668 is 8662087664436.

It is a junction number, because it is equal to n+sod(n) for n = 6344667802599 and 6344667802608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167479353 + ... + 167517231.

Almost surely, 26344667802668 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 6344667802668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995571001600).

6344667802668 is an abundant number, since it is smaller than the sum of its proper divisors (9646474200532).

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

6344667802668 is a wasteful number, since it uses less digits than its factorization.

6344667802668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41111 (or 41109 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 66.

The spelling of 6344667802668 in words is "six trillion, three hundred forty-four billion, six hundred sixty-seven million, eight hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 379 758 1137 1516 2274 2833 4548 4927 5666 8499 9854 11332 14781 16998 19708 29562 33996 36829 37879 59124 73658 75758 110487 113637 147316 151516 220974 227274 441948 454548 492427 984854 1073707 1477281 1969708 2147414 2954562 3221121 4294828 5909124 6442242 12884484 13958191 14356141 27916382 28712282 41874573 43068423 55832764 57424564 83749146 86136846 107311207 167498292 172273692 186629833 214622414 321933621 373259666 429244828 559889499 643867242 746519332 1119778998 1287734484 1395045691 2239557996 2790091382 4185137073 5580182764 8370274146 16740548292 40670947453 81341894906 122012842359 162683789812 244025684718 488051369436 528722316889 1057444633778 1586166950667 2114889267556 3172333901334 6344667802668