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7424073696 = 253135948777
BaseRepresentation
bin1101110101000001…
…00101111111100000
3201011101201000112110
412322200211333200
5110201030324241
63224403355320
7351655404504
oct67240457740
921141630473
107424073696
11316a7724a6
121532382b40
13914125c20
14505dca304
152d6b85816
hex1ba825fe0

7424073696 has 48 divisors (see below), whose sum is σ = 20987288784. Its totient is φ = 2284329984.

The previous prime is 7424073673. The next prime is 7424073721. The reversal of 7424073696 is 6963704247.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973141 + ... + 2975636.

It is an arithmetic number, because the mean of its divisors is an integer number (437235183).

Almost surely, 27424073696 is an apocalyptic number.

It is an amenable number.

7424073696 is an abundant number, since it is smaller than the sum of its proper divisors (13563215088).

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

7424073696 is a wasteful number, since it uses less digits than its factorization.

7424073696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948803 (or 5948795 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 7424073696 is about 86163.0645694546. The cubic root of 7424073696 is about 1950.8060394244.

The spelling of 7424073696 in words is "seven billion, four hundred twenty-four million, seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5948777 11897554 17846331 23795108 35692662 47590216 71385324 77334101 95180432 142770648 154668202 190360864 232002303 285541296 309336404 464004606 571082592 618672808 928009212 1237345616 1856018424 2474691232 3712036848 7424073696