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6499313680 = 2453153197251
BaseRepresentation
bin1100000110110001…
…11010100000010000
3121202221121100021111
412003120322200100
5101302311014210
62552530503104
7320026153246
oct60330724020
917687540244
106499313680
112835769622
121314734a94
137c7670652
14459266796
152808b788a
hex18363a810

6499313680 has 160 divisors (see below), whose sum is σ = 16036973568. Its totient is φ = 2446080000.

The previous prime is 6499313677. The next prime is 6499313687. The reversal of 6499313680 is 863139946.

It is a super-2 number, since 2×64993136802 = 84482156622070284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6499313687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25893555 + ... + 25893805.

Almost surely, 26499313680 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 6499313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018486784).

6499313680 is an abundant number, since it is smaller than the sum of its proper divisors (9537659888).

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

6499313680 is a wasteful number, since it uses less digits than its factorization.

6499313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The square root of 6499313680 is about 80618.3209946722. The cubic root of 6499313680 is about 1866.1898915567.

The spelling of 6499313680 in words is "six billion, four hundred ninety-nine million, three hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 197 212 248 251 265 310 394 424 496 502 530 620 788 848 985 1004 1060 1240 1255 1576 1643 1970 2008 2120 2480 2510 3152 3286 3940 4016 4240 5020 6107 6572 7781 7880 8215 10040 10441 12214 13144 13303 15562 15760 16430 20080 20882 24428 26288 26606 30535 31124 32860 38905 41764 48856 49447 52205 53212 61070 62248 65720 66515 77810 83528 97712 98894 104410 106424 122140 124496 131440 133030 155620 167056 197788 208820 212848 244280 247235 266060 311240 323671 395576 412393 417640 488560 494470 532120 622480 647342 791152 824786 835280 988940 1064240 1294684 1532857 1618355 1649572 1977880 2061965 2589368 2620691 3065714 3236710 3299144 3955760 4123930 5178736 5241382 6131428 6473420 6598288 7664285 8247860 10482764 12262856 12946840 13103455 15328570 16495720 20965528 24525712 25893680 26206910 30657140 32991440 41931056 52413820 61314280 81241421 104827640 122628560 162482842 209655280 324965684 406207105 649931368 812414210 1299862736 1624828420 3249656840 6499313680