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5022051456 = 27319367763
BaseRepresentation
bin1001010110101011…
…00110110010000000
3110221222212122110210
410223111212302000
540241121121311
62150155554120
7235310506302
oct45325466200
913858778423
105022051456
1121478a9654
12b81a5b940
136205ac9a6
14358da1972
151e5d603a6
hex12b566c80

5022051456 has 64 divisors (see below), whose sum is σ = 13409140320. Its totient is φ = 1665318912.

The previous prime is 5022051451. The next prime is 5022051479. The reversal of 5022051456 is 6541502205.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5022051451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40231 + ... + 107993.

Almost surely, 25022051456 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 5022051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704570160).

5022051456 is an abundant number, since it is smaller than the sum of its proper divisors (8387088864).

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

5022051456 is a wasteful number, since it uses less digits than its factorization.

5022051456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67973 (or 67961 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5022051456 is about 70866.4339162061. The cubic root of 5022051456 is about 1712.4860907532.

The spelling of 5022051456 in words is "five billion, twenty-two million, fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 37056 67763 74112 135526 203289 271052 406578 542104 813156 1084208 1626312 2168416 3252624 4336832 6505248 8673664 13010496 13078259 26020992 26156518 39234777 52313036 78469554 104626072 156939108 209252144 313878216 418504288 627756432 837008576 1255512864 1674017152 2511025728 5022051456