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67070050080 = 25351141491631
BaseRepresentation
bin111110011101101011…
…111011111100100000
320102010020010120011220
4332131223323330200
52044324413100310
650451143535040
74563026006415
oct763553737440
9212106116156
1067070050080
1126498327360
1210bb975a480
13642b41b687
14336384610c
151b282a7670
hexf9dafbf20

67070050080 has 384 divisors, whose sum is σ = 236954253312. Its totient is φ = 15805440000.

The previous prime is 67070050007. The next prime is 67070050081. The reversal of 67070050080 is 8005007076.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (67070050081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106291365 + ... + 106291995.

It is an arithmetic number, because the mean of its divisors is an integer number (617068368).

Almost surely, 267070050080 is an apocalyptic number.

67070050080 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 67070050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118477126656).

67070050080 is an abundant number, since it is smaller than the sum of its proper divisors (169884203232).

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

67070050080 is a wasteful number, since it uses less digits than its factorization.

67070050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 67070050080 in words is "sixty-seven billion, seventy million, fifty thousand, eighty".