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8494555648 = 29172973461
BaseRepresentation
bin1111110100101000…
…01010001000000000
3210221000000010201011
413322110022020000
5114344101240043
63522523450304
7420334350235
oct77224121000
923830003634
108494555648
113669a56427
121790986994
13a54b400b7
145a824378c
1534ab3a59d
hex1fa50a200

8494555648 has 160 divisors (see below), whose sum is σ = 18886134960. Its totient is φ = 3798466560.

The previous prime is 8494555609. The next prime is 8494555673. The reversal of 8494555648 is 8465554948.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5108246784 + 3386308864 = 71472^2 + 58192^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 8494555592 and 8494555601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18426138 + ... + 18426598.

Almost surely, 28494555648 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 8494555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443067480).

8494555648 is an abundant number, since it is smaller than the sum of its proper divisors (10391579312).

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

8494555648 is a wasteful number, since it uses less digits than its factorization.

8494555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 582 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 58.

The square root of 8494555648 is about 92165.9136991545. The cubic root of 8494555648 is about 2040.3917330511.

The spelling of 8494555648 in words is "eight billion, four hundred ninety-four million, five hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 73 116 128 136 146 232 256 272 292 461 464 493 512 544 584 922 928 986 1088 1168 1241 1844 1856 1972 2117 2176 2336 2482 3688 3712 3944 4234 4352 4672 4964 7376 7424 7837 7888 8468 8704 9344 9928 13369 14752 14848 15674 15776 16936 18688 19856 26738 29504 31348 31552 33653 33872 35989 37376 39712 53476 59008 62696 63104 67306 67744 71978 79424 106952 118016 125392 126208 134612 135488 143956 158848 213904 227273 236032 250784 252416 269224 270976 287912 317696 427808 454546 501568 538448 541952 572101 575824 635392 855616 909092 975937 1003136 1076896 1083904 1144202 1151648 1711232 1818184 1951874 2006272 2153792 2288404 2303296 3422464 3636368 3903748 4012544 4307584 4576808 4606592 6844928 7272736 7807496 8615168 9153616 9213184 14545472 15614992 16590929 17230336 18307232 18426368 29090944 31229984 33181858 36614464 58181888 62459968 66363716 73228928 116363776 124919936 132727432 146457856 249839872 265454864 292915712 499679744 530909728 1061819456 2123638912 4247277824 8494555648