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67540273152 = 2113111636131
BaseRepresentation
bin111110111001101101…
…101100100000000000
320110022222221100222020
4332321231230200000
52101310302220102
651005542241440
74610465564232
oct767155544000
9213288840866
1067540273152
11267097a5970
121110b126280
1364a4979191
1433aa08a252
151b546dcbbc
hexfb9b6c800

67540273152 has 192 divisors, whose sum is σ = 197670170880. Its totient is φ = 20337868800.

The previous prime is 67540273139. The next prime is 67540273189. The reversal of 67540273152 is 25137204576.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11013127 + ... + 11019257.

It is an arithmetic number, because the mean of its divisors is an integer number (1029532140).

Almost surely, 267540273152 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 67540273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98835085440).

67540273152 is an abundant number, since it is smaller than the sum of its proper divisors (130129897728).

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

67540273152 is a wasteful number, since it uses less digits than its factorization.

67540273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 67540273152 in words is "sixty-seven billion, five hundred forty million, two hundred seventy-three thousand, one hundred fifty-two".