Search a number
-
+
53643343576560 = 2435223513931569
BaseRepresentation
bin11000011001001110100000…
…11100000011110111110000
321000221020211211212102100120
430030213100130003313300
524012343031423422220
6310031224542250240
714204414030021523
oct1414472034036760
9230836754772316
1053643343576560
1116102017a73a11
126024533286980
1323c17128916aa
14d364cd032bba
156305be517a40
hex30c9d0703df0

53643343576560 has 40 divisors (see below), whose sum is σ = 166294365088080. Its totient is φ = 14304891620352.

The previous prime is 53643343576549. The next prime is 53643343576567. The reversal of 53643343576560 is 6567534334635.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×536433435765602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 53643343576494 and 53643343576503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53643343576567) 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, 111756965545 + ... + 111756966024.

It is an arithmetic number, because the mean of its divisors is an integer number (4157359127202).

Almost surely, 253643343576560 is an apocalyptic number.

It is an amenable number.

53643343576560 is an abundant number, since it is smaller than the sum of its proper divisors (112651021511520).

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

53643343576560 is a wasteful number, since it uses less digits than its factorization.

53643343576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223513931585 (or 223513931579 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 60.

The spelling of 53643343576560 in words is "fifty-three trillion, six hundred forty-three billion, three hundred forty-three million, five hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 223513931569 447027863138 670541794707 894055726276 1117569657845 1341083589414 1788111452552 2235139315690 2682167178828 3352708973535 3576222905104 4470278631380 5364334357656 6705417947070 8940557262760 10728668715312 13410835894140 17881114525520 26821671788280 53643343576560