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4147116928 = 271929127463
BaseRepresentation
bin1111011100101111…
…1111101110000000
3101201000112100221021
43313023333232000
531443130220203
61523303035224
7204524624623
oct36713775600
911630470837
104147116928
111838a37369
12978a3bb14
13511251256
142b4acbdba
151941355bd
hexf72ffb80

4147116928 has 128 divisors (see below), whose sum is σ = 9086976000. Its totient is φ = 1877686272.

The previous prime is 4147116797. The next prime is 4147116937. The reversal of 4147116928 is 8296117414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 8956825 + ... + 8957287.

It is an arithmetic number, because the mean of its divisors is an integer number (70992000).

Almost surely, 24147116928 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 4147116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543488000).

4147116928 is an abundant number, since it is smaller than the sum of its proper divisors (4939859072).

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

4147116928 is a wasteful number, since it uses less digits than its factorization.

4147116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 4147116928 is about 64398.1127673785. The cubic root of 4147116928 is about 1606.6283526692.

The spelling of 4147116928 in words is "four billion, one hundred forty-seven million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 127 128 152 232 254 304 463 464 508 551 608 926 928 1016 1102 1216 1852 1856 2032 2204 2413 2432 3683 3704 3712 4064 4408 4826 7366 7408 8128 8797 8816 9652 13427 14732 14816 16256 17594 17632 19304 26854 29464 29632 35188 35264 38608 53708 58801 58928 59264 69977 70376 70528 77216 107416 117602 117856 139954 140752 154432 214832 235204 235712 255113 279908 281504 308864 429664 470408 471424 510226 559816 563008 859328 940816 1020452 1117219 1119632 1126016 1705229 1718656 1881632 2040904 2234438 2239264 3410458 3763264 4081808 4468876 4478528 6820916 7526528 8163616 8937752 8957056 13641832 16327232 17875504 27283664 32399351 32654464 35751008 54567328 64798702 71502016 109134656 129597404 143004032 218269312 259194808 518389616 1036779232 2073558464 4147116928