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67640644604676 = 22311131672572713389
BaseRepresentation
bin11110110000100110100001…
…00110000001001100000100
322212111101022211012101201110
433120103100212001030010
532331211020004322201
6355505403321125020
720150606141460453
oct1730232046011404
9285441284171643
1067640644604676
111a609266545020
127705263029770
132b986405cbb50
14129bb78c58b9a
157c474d4d56d6
hex3d84d0981304

67640644604676 has 384 divisors, whose sum is σ = 188003053486080. Its totient is φ = 18659347660800.

The previous prime is 67640644604633. The next prime is 67640644604677.

67640644604676 is nontrivially palindromic in base 10.

67640644604676 is a nontrivial binomial coefficient, being equal to C(11631049, 2).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (67640644604677) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19958878390 + ... + 19958881778.

It is an arithmetic number, because the mean of its divisors is an integer number (489591285120).

Almost surely, 267640644604676 is an apocalyptic number.

67640644604676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

67640644604676 is the 11631048-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67640644604676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94001526743040).

67640644604676 is an abundant number, since it is smaller than the sum of its proper divisors (120362408881404).

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

67640644604676 is a wasteful number, since it uses less digits than its factorization.

67640644604676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 66.

The spelling of 67640644604676 in words is "sixty-seven trillion, six hundred forty billion, six hundred forty-four million, six hundred four thousand, six hundred seventy-six".