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4277063616 = 26374217559
BaseRepresentation
bin1111111011101110…
…1100111111000000
3102001002001100021120
43332323230333000
532224412013431
61544224152240
7210663304140
oct37673547700
912032040246
104277063616
1118a5322221
129b4468680
1353214b697
142c8076920
151a0753196
hexfeeecfc0

4277063616 has 112 divisors (see below), whose sum is σ = 12965460480. Its totient is φ = 1218954240.

The previous prime is 4277063611. The next prime is 4277063633. The reversal of 4277063616 is 6163607724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4277063611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562045 + ... + 569603.

It is an arithmetic number, because the mean of its divisors is an integer number (115763040).

Almost surely, 24277063616 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 4277063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482730240).

4277063616 is an abundant number, since it is smaller than the sum of its proper divisors (8688396864).

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

4277063616 is a wasteful number, since it uses less digits than its factorization.

4277063616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 4277063616 is about 65399.2631151147. The cubic root of 4277063616 is about 1623.2368873810.

The spelling of 4277063616 in words is "four billion, two hundred seventy-seven million, sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 421 448 672 842 1263 1344 1684 2526 2947 3368 5052 5894 6736 7559 8841 10104 11788 13472 15118 17682 20208 22677 23576 26944 30236 35364 40416 45354 47152 52913 60472 70728 80832 90708 94304 105826 120944 141456 158739 181416 188608 211652 241888 282912 317478 362832 423304 483776 565824 634956 725664 846608 1269912 1451328 1693216 2539824 3182339 3386432 5079648 6364678 9547017 10159296 12729356 19094034 22276373 25458712 38188068 44552746 50917424 66829119 76376136 89105492 101834848 133658238 152752272 178210984 203669696 267316476 305504544 356421968 534632952 611009088 712843936 1069265904 1425687872 2138531808 4277063616