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6499134240 = 253523358111
BaseRepresentation
bin1100000110110000…
…01110101100100000
3121202221021020010120
412003120032230200
5101302234243430
62552523000240
7320024505144
oct60330165440
917687236116
106499134240
112835656825
121314669080
137c7609a81
1445921b224
1528087e610
hex18360eb20

6499134240 has 96 divisors (see below), whose sum is σ = 20560490496. Its totient is φ = 1725634560.

The previous prime is 6499134227. The next prime is 6499134247. The reversal of 6499134240 is 424319946.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6499134192 and 6499134201.

It is not an unprimeable number, because it can be changed into a prime (6499134247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82785 + ... + 140895.

It is an arithmetic number, because the mean of its divisors is an integer number (214171776).

Almost surely, 26499134240 is an apocalyptic number.

6499134240 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 6499134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280245248).

6499134240 is an abundant number, since it is smaller than the sum of its proper divisors (14061356256).

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

6499134240 is a wasteful number, since it uses less digits than its factorization.

6499134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58362 (or 58354 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 6499134240 is about 80617.2080885961. The cubic root of 6499134240 is about 1866.1727168102.

The spelling of 6499134240 in words is "six billion, four hundred ninety-nine million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 37280 55920 58111 111840 116222 174333 232444 290555 348666 464888 581110 697332 871665 929776 1162220 1394664 1743330 1859552 2324440 2789328 3486660 4648880 5578656 6973320 9297760 13539863 13946640 27079726 27893280 40619589 54159452 67699315 81239178 108318904 135398630 162478356 203097945 216637808 270797260 324956712 406195890 433275616 541594520 649913424 812391780 1083189040 1299826848 1624783560 2166378080 3249567120 6499134240