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55578000753 = 3211717906957
BaseRepresentation
bin110011110000101101…
…001111110101110001
312022110022210222011100
4303300231033311301
51402310432011003
641310541235013
74005163132422
oct636055176561
9168408728140
1055578000753
1121630372630
12a930b62a69
135319593aa2
14299348d649
1516a4420ba3
hexcf0b4fd71

55578000753 has 24 divisors (see below), whose sum is σ = 88810952256. Its totient is φ = 33209215200.

The previous prime is 55578000683. The next prime is 55578000799. The reversal of 55578000753 is 35700087555.

55578000753 is a `hidden beast` number, since 5 + 5 + 578 + 0 + 0 + 0 + 75 + 3 = 666.

It is not a de Polignac number, because 55578000753 - 229 = 55041129841 is a prime.

It is a super-3 number, since 3×555780007533 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55578000699 and 55578000708.

It is not an unprimeable number, because it can be changed into a prime (55578000253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946450 + ... + 3960507.

It is an arithmetic number, because the mean of its divisors is an integer number (3700456344).

Almost surely, 255578000753 is an apocalyptic number.

It is an amenable number.

55578000753 is a deficient number, since it is larger than the sum of its proper divisors (33232951503).

55578000753 is a wasteful number, since it uses less digits than its factorization.

55578000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907045 (or 7907042 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 55578000753 in words is "fifty-five billion, five hundred seventy-eight million, seven hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 7906957 23720871 71162613 86976527 260929581 561393947 782788743 1684181841 5052545523 6175333417 18526000251 55578000753