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68014054080 = 263457253551
BaseRepresentation
bin111111010101111101…
…000001101011000000
320111120000102221020000
4333111331001223000
52103243044212310
651124545120000
74625310630600
oct772575015300
9214500387200
1068014054080
1126932184555
1211221929000
13654bb8121b
143412d78c00
151b810c74c0
hexfd5f41ac0

68014054080 has 420 divisors, whose sum is σ = 281443285728. Its totient is φ = 15545779200.

The previous prime is 68014054037. The next prime is 68014054093. The reversal of 68014054080 is 8045041086.

It is a tau number, because it is divible by the number of its divisors (420).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1243305 + ... + 1296855.

Almost surely, 268014054080 is an apocalyptic number.

68014054080 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 68014054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140721642864).

68014054080 is an abundant number, since it is smaller than the sum of its proper divisors (213429231648).

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

68014054080 is a wasteful number, since it uses less digits than its factorization.

68014054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53594 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 68014054080 in words is "sixty-eight billion, fourteen million, fifty-four thousand, eighty".