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66252047328 = 25321271811353
BaseRepresentation
bin111101101100111011…
…100000001111100000
320100000012220201100200
4331230323200033200
52041141011003303
650234043145200
74533534052635
oct755473401740
9210005821320
1066252047328
112610860a825
1210a0b815200
13632ab0448c
1432c6d5218c
151acb5763a3
hexf6cee03e0

66252047328 has 72 divisors (see below), whose sum is σ = 189887862528. Its totient is φ = 21910113792.

The previous prime is 66252047299. The next prime is 66252047347. The reversal of 66252047328 is 82374025266.

66252047328 is a `hidden beast` number, since 6 + 62 + 520 + 47 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 869101 + ... + 942252.

It is an arithmetic number, because the mean of its divisors is an integer number (2637331424).

Almost surely, 266252047328 is an apocalyptic number.

It is an amenable number.

66252047328 is an abundant number, since it is smaller than the sum of its proper divisors (123635815200).

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

66252047328 is a wasteful number, since it uses less digits than its factorization.

66252047328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811496 (or 1811485 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 66252047328 in words is "sixty-six billion, two hundred fifty-two million, forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 36576 1811353 3622706 5434059 7245412 10868118 14490824 16302177 21736236 28981648 32604354 43472472 57963296 65208708 86944944 130417416 173889888 230041831 260834832 460083662 521669664 690125493 920167324 1380250986 1840334648 2070376479 2760501972 3680669296 4140752958 5521003944 7361338592 8281505916 11042007888 16563011832 22084015776 33126023664 66252047328