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6402339468 = 223571755351
BaseRepresentation
bin1011111011001101…
…11111001010001100
3121112012010112200000
411331212333022030
5101102444330333
62535144204300
7314440662510
oct57546771214
917465115600
106402339468
112795a54448
1212a8169690
137b0549165
1444a422140
1527710e713
hex17d9bf28c

6402339468 has 144 divisors (see below), whose sum is σ = 20309313024. Its totient is φ = 1721606400.

The previous prime is 6402339457. The next prime is 6402339469. The reversal of 6402339468 is 8649332046.

It is not an unprimeable number, because it can be changed into a prime (6402339469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87993 + ... + 143343.

It is an arithmetic number, because the mean of its divisors is an integer number (141036896).

Almost surely, 26402339468 is an apocalyptic number.

6402339468 is a gapful number since it is divisible by the number (68) 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 6402339468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154656512).

6402339468 is an abundant number, since it is smaller than the sum of its proper divisors (13906973556).

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

6402339468 is a wasteful number, since it uses less digits than its factorization.

6402339468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55394 (or 55380 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6402339468 is about 80014.6203390355. The cubic root of 6402339468 is about 1856.8617318970.

The spelling of 6402339468 in words is "six billion, four hundred two million, three hundred thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 6426 6804 8262 9639 12852 16524 19278 28917 38556 55351 57834 110702 115668 166053 221404 332106 387457 498159 664212 774914 940967 996318 1162371 1494477 1549828 1881934 1992636 2324742 2822901 2988954 3487113 3763868 4483431 4649484 5645802 5977908 6586769 6974226 8468703 8966862 10461339 11291604 13173538 13450293 13948452 16937406 17933724 19760307 20922678 25406109 26347076 26900586 31384017 33874812 39520614 41845356 50812218 53801172 59280921 62768034 76218327 79041228 94152051 101624436 118561842 125536068 152436654 177842763 188304102 228654981 237123684 304873308 355685526 376608204 457309962 533528289 711371052 914619924 1067056578 1600584867 2134113156 3201169734 6402339468