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66419263680 = 2635711193131
BaseRepresentation
bin111101110110111001…
…011000100011000000
320100102212120012001220
4331312321120203000
52042011312414210
650302415155040
74540634266110
oct756671304300
9210385505056
1066419263680
1126193a40960
1210a57815a80
136356650773
14330123d040
151adb0a6c70
hexf76e588c0

66419263680 has 896 divisors, whose sum is σ = 279639613440. Its totient is φ = 12975206400.

The previous prime is 66419263657. The next prime is 66419263693. The reversal of 66419263680 is 8636291466.

It is a happy number.

66419263680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 507017215 + ... + 507017345.

Almost surely, 266419263680 is an apocalyptic number.

66419263680 is a gapful number since it is divisible by the number (60) 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 66419263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139819806720).

66419263680 is an abundant number, since it is smaller than the sum of its proper divisors (213220349760).

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

66419263680 is a wasteful number, since it uses less digits than its factorization.

66419263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 66419263680 in words is "sixty-six billion, four hundred nineteen million, two hundred sixty-three thousand, six hundred eighty".