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67134070146 = 231121331269853
BaseRepresentation
bin111110100001100000…
…001001110110000010
320102021200121010012110
4332201200021312002
52044442310221041
650501352040150
74564434116013
oct764140116602
9212250533173
1067134070146
1126520483600
1211017093056
13643b775380
14336c14d00a
151b2dc01516
hexfa1809d82

67134070146 has 192 divisors, whose sum is σ = 164866544640. Its totient is φ = 18084211200.

The previous prime is 67134070123. The next prime is 67134070151. The reversal of 67134070146 is 64107043176.

It is a super-2 number, since 2×671340701462 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 78703056 + ... + 78703908.

It is an arithmetic number, because the mean of its divisors is an integer number (858679920).

Almost surely, 267134070146 is an apocalyptic number.

67134070146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67134070146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82433272320).

67134070146 is an abundant number, since it is smaller than the sum of its proper divisors (97732474494).

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

67134070146 is a wasteful number, since it uses less digits than its factorization.

67134070146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 67134070146 in words is "sixty-seven billion, one hundred thirty-four million, seventy thousand, one hundred forty-six".