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1221755277552 = 243239106498891
BaseRepresentation
bin10001110001110110010…
…010100001000011110000
311022210120020002201100220
4101301312102201003300
5130004123322340202
62333133331413040
7154161143340135
oct21616622410360
94283506081326
101221755277552
11431164004117
1217894b454180
138b2988244c4
14431c19a458c
1521ba9ac8abc
hex11c764a10f0

1221755277552 has 40 divisors (see below), whose sum is σ = 3169407025920. Its totient is φ = 405547773120.

The previous prime is 1221755277539. The next prime is 1221755277553. The reversal of 1221755277552 is 2557725571221.

It is a super-2 number, since 2×12217552775522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221755277495 and 1221755277504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221755277553) by changing a digit.

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, 53237974 + ... + 53260917.

It is an arithmetic number, because the mean of its divisors is an integer number (79235175648).

Almost surely, 21221755277552 is an apocalyptic number.

1221755277552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221755277552 is an abundant number, since it is smaller than the sum of its proper divisors (1947651748368).

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

1221755277552 is a wasteful number, since it uses less digits than its factorization.

1221755277552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106499141 (or 106499135 counting only the distinct ones).

The product of its digits is 3430000, while the sum is 51.

The spelling of 1221755277552 in words is "one trillion, two hundred twenty-one billion, seven hundred fifty-five million, two hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1912 2868 3824 5736 11472 106498891 212997782 319496673 425995564 638993346 851991128 1277986692 1703982256 2555973384 5111946768 25453234949 50906469898 76359704847 101812939796 152719409694 203625879592 305438819388 407251759184 610877638776 1221755277552