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67378031280 = 24335731433343
BaseRepresentation
bin111110110000000010…
…110010101010110000
320102220200122121222000
4332300002302222300
52100442234000110
650541505014000
74603455546660
oct766002625260
9212820577860
1067378031280
112663616217a
1211084924300
13647a182181
1433926d61a0
151b453411c0
hexfb00b2ab0

67378031280 has 640 divisors, whose sum is σ = 280241111040. Its totient is φ = 14552939520.

The previous prime is 67378031261. The next prime is 67378031341. The reversal of 67378031280 is 8213087376.

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

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, 20153289 + ... + 20156631.

It is an arithmetic number, because the mean of its divisors is an integer number (437876736).

Almost surely, 267378031280 is an apocalyptic number.

67378031280 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 67378031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140120555520).

67378031280 is an abundant number, since it is smaller than the sum of its proper divisors (212863079760).

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

67378031280 is a wasteful number, since it uses less digits than its factorization.

67378031280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67378031280 in words is "sixty-seven billion, three hundred seventy-eight million, thirty-one thousand, two hundred eighty".