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66554000128 = 28711171910453
BaseRepresentation
bin111101111110111011…
…010111001100000000
320100210021002111201201
4331332323113030000
52042300311001003
650324031110544
74544161444540
oct757673271400
9210707074651
1066554000128
1126252aa83a0
1210a94972454
136378537085
1433150b3320
151ae7d1db1d
hexf7eed7300

66554000128 has 288 divisors, whose sum is σ = 184619312640. Its totient is φ = 23118151680.

The previous prime is 66554000057. The next prime is 66554000141. The reversal of 66554000128 is 82100045566.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361750 + ... + 6372202.

It is an arithmetic number, because the mean of its divisors is an integer number (641039280).

Almost surely, 266554000128 is an apocalyptic number.

66554000128 is a gapful number since it is divisible by the number (68) 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 66554000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92309656320).

66554000128 is an abundant number, since it is smaller than the sum of its proper divisors (118065312512).

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

66554000128 is a wasteful number, since it uses less digits than its factorization.

66554000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 66554000128 in words is "sixty-six billion, five hundred fifty-four million, one hundred twenty-eight", and thus it is an aban number.