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67226801376 = 253717193197103
BaseRepresentation
bin111110100111000001…
…111001010011100000
320102112011002100112110
4332213001321103200
52100140030121001
650514503355320
74566641245320
oct764701712340
9212464070473
1067226801376
112656885a989
1211042152b40
136454a42517
14337a5ab280
151b36e1c3d6
hexfa70794e0

67226801376 has 768 divisors, whose sum is σ = 236702269440. Its totient is φ = 16243752960.

The previous prime is 67226801333. The next prime is 67226801503. The reversal of 67226801376 is 67310862276.

67226801376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 652687341 + ... + 652687443.

It is an arithmetic number, because the mean of its divisors is an integer number (308206080).

Almost surely, 267226801376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67226801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118351134720).

67226801376 is an abundant number, since it is smaller than the sum of its proper divisors (169475468064).

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

67226801376 is a wasteful number, since it uses less digits than its factorization.

67226801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 67226801376 in words is "sixty-seven billion, two hundred twenty-six million, eight hundred one thousand, three hundred seventy-six".