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7085393448 = 2337293594051
BaseRepresentation
bin1101001100101001…
…01000011000101000
3200021210102021120120
412212110220120220
5104002330042243
63131024323240
7340403564520
oct64624503050
920253367516
107085393448
113006579a71
121458a73520
1388bc04203
144b3028680
152b7085c83
hex1a6528628

7085393448 has 128 divisors (see below), whose sum is σ = 21005568000. Its totient is φ = 1948665600.

The previous prime is 7085393443. The next prime is 7085393453. The reversal of 7085393448 is 8443935807.

It is an interprime number because it is at equal distance from previous prime (7085393443) and next prime (7085393453).

It is a super-2 number, since 2×70853934482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7085393448.

It is not an unprimeable number, because it can be changed into a prime (7085393443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747023 + ... + 1751073.

It is an arithmetic number, because the mean of its divisors is an integer number (164106000).

Almost surely, 27085393448 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 7085393448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502784000).

7085393448 is an abundant number, since it is smaller than the sum of its proper divisors (13920174552).

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

7085393448 is a wasteful number, since it uses less digits than its factorization.

7085393448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 7085393448 is about 84174.7791681095. The cubic root of 7085393448 is about 1920.6784212797.

The spelling of 7085393448 in words is "seven billion, eighty-five million, three hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 359 406 609 696 718 812 1077 1218 1436 1624 2154 2436 2513 2872 4051 4308 4872 5026 7539 8102 8616 10052 10411 12153 15078 16204 20104 20822 24306 28357 30156 31233 32408 41644 48612 56714 60312 62466 72877 83288 85071 97224 113428 117479 124932 145754 170142 218631 226856 234958 249864 291508 340284 352437 437262 469916 583016 680568 704874 822353 874524 939832 1409748 1454309 1644706 1749048 2467059 2819496 2908618 3289412 4362927 4934118 5817236 6578824 8725854 9868236 10180163 11634472 17451708 19736472 20360326 30540489 34903416 40720652 42174961 61080978 81441304 84349922 122161956 126524883 168699844 244323912 253049766 295224727 337399688 506099532 590449454 885674181 1012199064 1180898908 1771348362 2361797816 3542696724 7085393448