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55764224881 = 376130018233
BaseRepresentation
bin110011111011110011…
…101000101101110001
312022221022020010122021
4303323303220231301
51403201120144011
641341232511441
74012614043051
oct637363505561
9168838203567
1055764224881
11217164a6572
12a9833ab581
135349036991
1429b00c7561
1516b5958471
hexcfbce8b71

55764224881 has 16 divisors (see below), whose sum is σ = 58236710608. Its totient is φ = 53343360000.

The previous prime is 55764224851. The next prime is 55764224897. The reversal of 55764224881 is 18842246755.

It can be written as a sum of positive squares in 8 ways, for example, as 2661631281 + 53102593600 = 51591^2 + 230440^2 .

It is a 5-Lehmer number, since φ(55764224881) divides (55764224881-1)5.

It is a cyclic number.

It is not a de Polignac number, because 55764224881 - 213 = 55764216689 is a prime.

It is a super-2 number, since 2×557642248812 (a number of 22 digits) contains 22 as substring.

It is the 236145-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55764224851) by changing a digit.

It is a nontrivial repunit in base 236144.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6769141 + ... + 6777373.

It is an arithmetic number, because the mean of its divisors is an integer number (3639794413).

Almost surely, 255764224881 is an apocalyptic number.

It is an amenable number.

55764224881 is a deficient number, since it is larger than the sum of its proper divisors (2472485727).

55764224881 is a wasteful number, since it uses less digits than its factorization.

55764224881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332.

The product of its digits is 4300800, while the sum is 52.

The spelling of 55764224881 in words is "fifty-five billion, seven hundred sixty-four million, two hundred twenty-four thousand, eight hundred eighty-one".

Divisors: 1 37 61 2257 3001 8233 111037 183061 304621 502213 6773257 18581881 24707233 914167621 1507141213 55764224881