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67399453920 = 253517192341461
BaseRepresentation
bin111110110001010100…
…100000110011100000
320102222011222000022010
4332301110200303200
52101013230011140
650543552112520
74604135622441
oct766124406340
9212864860263
1067399453920
1126647264337
121108bb35740
136481742ca6
1433954b12c8
151b47173880
hexfb1520ce0

67399453920 has 768 divisors, whose sum is σ = 253487646720. Its totient is φ = 14922547200.

The previous prime is 67399453909. The next prime is 67399453949. The reversal of 67399453920 is 2935499376.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 146202490 + ... + 146202950.

It is an arithmetic number, because the mean of its divisors is an integer number (330062040).

Almost surely, 267399453920 is an apocalyptic number.

67399453920 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 67399453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126743823360).

67399453920 is an abundant number, since it is smaller than the sum of its proper divisors (186088192800).

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

67399453920 is a wasteful number, since it uses less digits than its factorization.

67399453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 67399453920 in words is "sixty-seven billion, three hundred ninety-nine million, four hundred fifty-three thousand, nine hundred twenty".