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6408245970 = 2325722363179
BaseRepresentation
bin1011111011111011…
…00001001011010010
3121112121020121212100
411331331201023102
5101111002332340
62535514541230
7314542122600
oct57575411322
917477217770
106408245970
112799319055
1212aa137816
137b1836729
1444b11c870
152778c9830
hex17df612d2

6408245970 has 144 divisors (see below), whose sum is σ = 20224676160. Its totient is φ = 1401035328.

The previous prime is 6408245951. The next prime is 6408245981. The reversal of 6408245970 is 795428046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69841 + ... + 133019.

It is an arithmetic number, because the mean of its divisors is an integer number (140449140).

Almost surely, 26408245970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6408245970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112338080).

6408245970 is an abundant number, since it is smaller than the sum of its proper divisors (13816430190).

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

6408245970 is a wasteful number, since it uses less digits than its factorization.

6408245970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63229 (or 63219 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6408245970 is about 80051.5207225946. The cubic root of 6408245970 is about 1857.4325746124.

The spelling of 6408245970 in words is "six billion, four hundred eight million, two hundred forty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 4410 4830 5635 6762 7245 10143 11270 14490 16905 20286 33810 50715 63179 101430 126358 189537 315895 379074 442253 568611 631790 884506 947685 1137222 1326759 1453117 1895370 2211265 2653518 2843055 2906234 3095771 3980277 4359351 4422530 5686110 6191542 6633795 7265585 7960554 8718702 9287313 10171819 13078053 13267590 14531170 15478855 18574626 19901385 20343638 21796755 26156106 27861939 30515457 30957710 39802770 43593510 46436565 50859095 55723878 61030914 65390265 71202733 91546371 92873130 101718190 130780530 139309695 142405466 152577285 183092742 213608199 278619390 305154570 356013665 427216398 457731855 640824597 712027330 915463710 1068040995 1281649194 2136081990 3204122985 6408245970