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2116301256 = 23348114027
BaseRepresentation
bin111111000100100…
…0011000111001000
312110111012020120000
41332021003013020
513313233120011
6545555403000
7103305156336
oct17611030710
95414166500
102116301256
11996662503
124b08b3460
132795a7884
141610d0b56
15c5bd7356
hex7e2431c8

2116301256 has 80 divisors (see below), whose sum is σ = 5936385840. Its totient is φ = 704388960.

The previous prime is 2116301237. The next prime is 2116301293. The reversal of 2116301256 is 6521036112.

2116301256 is a `hidden beast` number, since 2 + 1 + 1 + 630 + 1 + 25 + 6 = 666.

It is a super-2 number, since 2×21163012562 = 8957462012294355072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 523515 + ... + 527541.

It is an arithmetic number, because the mean of its divisors is an integer number (74204823).

Almost surely, 22116301256 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 2116301256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968192920).

2116301256 is an abundant number, since it is smaller than the sum of its proper divisors (3820084584).

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

2116301256 is a wasteful number, since it uses less digits than its factorization.

2116301256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2116301256 is about 46003.2744051986. The cubic root of 2116301256 is about 1283.8841278964.

Adding to 2116301256 its reverse (6521036112), we get a palindrome (8637337368).

The spelling of 2116301256 in words is "two billion, one hundred sixteen million, three hundred one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 811 1622 2433 3244 4027 4866 6488 7299 8054 9732 12081 14598 16108 19464 21897 24162 29196 32216 36243 43794 48324 58392 65691 72486 87588 96648 108729 131382 144972 175176 217458 262764 289944 326187 434916 525528 652374 869832 1304748 2609496 3265897 6531794 9797691 13063588 19595382 26127176 29393073 39190764 58786146 78381528 88179219 117572292 176358438 235144584 264537657 352716876 529075314 705433752 1058150628 2116301256