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67540385472 = 2637318319531
BaseRepresentation
bin111110111001101110…
…000111111011000000
320110100000011002001020
4332321232013323000
52101310314313342
651005544505440
74610466542550
oct767156077300
9213300132036
1067540385472
112670987229a
121110b17b280
1364a49b8341
1433aa0b9160
151b547110ec
hexfb9b87ec0

67540385472 has 224 divisors, whose sum is σ = 213368193024. Its totient is φ = 18448819200.

The previous prime is 67540385453. The next prime is 67540385509. The reversal of 67540385472 is 27458304576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3448347 + ... + 3467877.

It is an arithmetic number, because the mean of its divisors is an integer number (952536576).

Almost surely, 267540385472 is an apocalyptic number.

67540385472 is a gapful number since it is divisible by the number (62) 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 67540385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106684096512).

67540385472 is an abundant number, since it is smaller than the sum of its proper divisors (145827807552).

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

67540385472 is a wasteful number, since it uses less digits than its factorization.

67540385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19667 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 67540385472 in words is "sixty-seven billion, five hundred forty million, three hundred eighty-five thousand, four hundred seventy-two".