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56305146720 = 2535117302389
BaseRepresentation
bin110100011100000011…
…000101101101100000
312101100000001210220110
4310130003011231200
51410303104143340
641511034411320
74032202564464
oct643403055540
9171300053813
1056305146720
1121973873109
12aab4590b40
135404119084
142a21c924a4
1516e81a6680
hexd1c0c5b60

56305146720 has 48 divisors (see below), whose sum is σ = 177361213680. Its totient is φ = 15014705664.

The previous prime is 56305146719. The next prime is 56305146721. The reversal of 56305146720 is 2764150365.

It is an interprime number because it is at equal distance from previous prime (56305146719) and next prime (56305146721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56305146721) 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, 58650715 + ... + 58651674.

It is an arithmetic number, because the mean of its divisors is an integer number (3695025285).

Almost surely, 256305146720 is an apocalyptic number.

It is an amenable number.

56305146720 is an abundant number, since it is smaller than the sum of its proper divisors (121056066960).

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

56305146720 is a wasteful number, since it uses less digits than its factorization.

56305146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117302407 (or 117302399 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 56305146720 in words is "fifty-six billion, three hundred five million, one hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 117302389 234604778 351907167 469209556 586511945 703814334 938419112 1173023890 1407628668 1759535835 1876838224 2346047780 2815257336 3519071670 3753676448 4692095560 5630514672 7038143340 9384191120 11261029344 14076286680 18768382240 28152573360 56305146720