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55766880000 = 28345413331
BaseRepresentation
bin110011111011111101…
…110000111100000000
312022221111020000210000
4303323331300330000
51403202310130000
641341405440000
74012645441656
oct637375607400
9168844200700
1055766880000
1121717a4a387
12a984270000
135349756360
1429b05b8dd6
1516b5cd0000
hexcfbf70f00

55766880000 has 900 divisors, whose sum is σ = 224451971128. Its totient is φ = 13685760000.

The previous prime is 55766879989. The next prime is 55766880017. The reversal of 55766880000 is 8866755.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 168479835 + ... + 168480165.

Almost surely, 255766880000 is an apocalyptic number.

55766880000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55766880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112225985564).

55766880000 is an abundant number, since it is smaller than the sum of its proper divisors (168685091128).

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

55766880000 is an equidigital number, since it uses as much as digits as its factorization.

55766880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 55766880000 in words is "fifty-five billion, seven hundred sixty-six million, eight hundred eighty thousand".