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4807495008 = 2532177313451
BaseRepresentation
bin1000111101000110…
…01000110101100000
3110102001011001100200
410132203020311200
534321204320013
62113013145200
7230064014301
oct43643106540
913361131320
104807495008
112047784178
12b2202b200
135b7cc9c04
143386b07a8
151d20cce73
hex11e8c8d60

4807495008 has 144 divisors (see below), whose sum is σ = 14674894416. Its totient is φ = 1487462400.

The previous prime is 4807495001. The next prime is 4807495013. The reversal of 4807495008 is 8005947084.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48074950083 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807495001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350683 + ... + 364133.

It is an arithmetic number, because the mean of its divisors is an integer number (101908989).

Almost surely, 24807495008 is an apocalyptic number.

4807495008 is a gapful number since it is divisible by the number (48) 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 4807495008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337447208).

4807495008 is an abundant number, since it is smaller than the sum of its proper divisors (9867399408).

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

4807495008 is a wasteful number, since it uses less digits than its factorization.

4807495008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4807495008 is about 69336.1017652420. The cubic root of 4807495008 is about 1687.7428649300.

The spelling of 4807495008 in words is "four billion, eight hundred seven million, four hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 7008 7446 9928 10512 11169 13451 14892 19856 21024 22338 26902 29784 39712 40353 44676 53804 59568 80706 89352 107608 119136 121059 161412 178704 215216 228667 242118 322824 357408 430432 457334 484236 645648 686001 914668 968472 981923 1291296 1372002 1829336 1936944 1963846 2058003 2744004 2945769 3658672 3873888 3927692 4116006 5488008 5891538 7317344 7855384 8232012 8837307 10976016 11783076 15710768 16464024 16692691 17674614 21952032 23566152 31421536 32928048 33385382 35349228 47132304 50078073 65856096 66770764 70698456 94264608 100156146 133541528 141396912 150234219 200312292 267083056 282793824 300468438 400624584 534166112 600936876 801249168 1201873752 1602498336 2403747504 4807495008