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55294333952256 = 28367224592
BaseRepresentation
bin11001001001010001101110…
…01000100010000100000000
321020210002100012112101000000
430210220313020202010000
524221420243442433011
6313333511044000000
714434612066456200
oct1444506710420400
9236702305471000
1055294333952256
1116689216aa5363
1262504b4690000
1324b13057a4a69
14d9238d7b4400
1565d4ec3c1356
hex324a37222100

55294333952256 has 567 divisors, whose sum is σ = 192579309588351. Its totient is φ = 15791956411392.

The previous prime is 55294333952251. The next prime is 55294333952317. The reversal of 55294333952256 is 65225933349255.

The square root of 55294333952256 is 7436016.

It is a perfect power (a square), and thus also a powerful number.

55294333952256 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 43 + 339 + 5 + 2 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×552943339522562 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 55294333952193 and 55294333952202.

It is not an unprimeable number, because it can be changed into a prime (55294333952251) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22486511155 + ... + 22486513613.

Almost surely, 255294333952256 is an apocalyptic number.

55294333952256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55294333952256 is the 7436016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55294333952256

55294333952256 is an abundant number, since it is smaller than the sum of its proper divisors (137284975636095).

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

55294333952256 is an frugal number, since it uses more digits than its factorization.

55294333952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 2471 counting only the distinct ones).

The product of its digits is 262440000, while the sum is 63.

The spelling of 55294333952256 in words is "fifty-five trillion, two hundred ninety-four billion, three hundred thirty-three million, nine hundred fifty-two thousand, two hundred fifty-six".