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7255780064 = 2513179671061
BaseRepresentation
bin1101100000111101…
…00110101011100000
3200201200000211001222
412300132212223200
5104324434430224
63155552314212
7344543053511
oct66036465340
920650024058
107255780064
113093775a55
1214a5b42968
138b82c04b0
144cb8dca08
152c6ee0b5e
hex1b07a6ae0

7255780064 has 96 divisors (see below), whose sum is σ = 16320782016. Its totient is φ = 3145605120.

The previous prime is 7255780061. The next prime is 7255780067. The reversal of 7255780064 is 4600875527.

It is an interprime number because it is at equal distance from previous prime (7255780061) and next prime (7255780067).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7255779997 and 7255780024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7255780061) 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, 6838094 + ... + 6839154.

It is an arithmetic number, because the mean of its divisors is an integer number (170008146).

Almost surely, 27255780064 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 7255780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160391008).

7255780064 is an abundant number, since it is smaller than the sum of its proper divisors (9065001952).

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

7255780064 is a wasteful number, since it uses less digits than its factorization.

7255780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The square root of 7255780064 is about 85180.8667718285. The cubic root of 7255780064 is about 1935.9525265549.

The spelling of 7255780064 in words is "seven billion, two hundred fifty-five million, seven hundred eighty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 967 1061 1768 1934 2122 3536 3868 4244 7072 7736 8488 12571 13793 15472 16439 16976 18037 25142 27586 30944 32878 33952 36074 50284 55172 65756 72148 100568 110344 131512 144296 201136 213707 220688 234481 263024 288592 402272 427414 441376 468962 526048 577184 854828 937924 1025987 1709656 1875848 2051974 3419312 3751696 4103948 6838624 7503392 8207896 13337831 16415792 17441779 26675662 32831584 34883558 53351324 69767116 106702648 139534232 213405296 226743127 279068464 426810592 453486254 558136928 906972508 1813945016 3627890032 7255780064