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67140458496 = 2113329149281
BaseRepresentation
bin111110100001111000…
…100001100000000000
320102022010121200101000
4332201320201200000
52100000424132441
650502141012000
74564542323646
oct764170414000
9212263550330
1067140458496
1126524047231
1211019254000
13643cba1067
14336cd33196
151b2e5642b6
hexfa1e21800

67140458496 has 384 divisors, whose sum is σ = 207862200000. Its totient is φ = 21387018240.

The previous prime is 67140458477. The next prime is 67140458503. The reversal of 67140458496 is 69485404176.

67140458496 is a `hidden beast` number, since 6 + 7 + 140 + 4 + 5 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238933876 + ... + 238934156.

Almost surely, 267140458496 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 67140458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103931100000).

67140458496 is an abundant number, since it is smaller than the sum of its proper divisors (140721741504).

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

67140458496 is a wasteful number, since it uses less digits than its factorization.

67140458496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 67140458496 in words is "sixty-seven billion, one hundred forty million, four hundred fifty-eight thousand, four hundred ninety-six".