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67149431440 = 24572136771277
BaseRepresentation
bin111110100010011010…
…110000001010010000
320102022202111112221021
4332202122300022100
52100010223301230
650503101205224
74565011515100
oct764232601220
9212282445837
1067149431440
1126529115793
1211020260814
1364419c32b0
1433701cb200
151b30237c7a
hexfa26b0290

67149431440 has 480 divisors, whose sum is σ = 202023569664. Its totient is φ = 20565135360.

The previous prime is 67149431423. The next prime is 67149431467. The reversal of 67149431440 is 4413494176.

It is a super-2 number, since 2×671494314402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242416582 + ... + 242416858.

Almost surely, 267149431440 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 67149431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101011784832).

67149431440 is an abundant number, since it is smaller than the sum of its proper divisors (134874138224).

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

67149431440 is a wasteful number, since it uses less digits than its factorization.

67149431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 67149431440 in words is "sixty-seven billion, one hundred forty-nine million, four hundred thirty-one thousand, four hundred forty".