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67672936728 = 233317192274273
BaseRepresentation
bin111111000001100111…
…110001000100011000
320110200020120101012000
4333001213301010120
52102043232433403
651031041521000
74613666320425
oct770147610430
9213606511160
1067672936728
1126777676a91
1211147643160
1364c62b8137
1433bd940d4c
151b611957a3
hexfc19f1118

67672936728 has 256 divisors, whose sum is σ = 210485952000. Its totient is φ = 20020027392.

The previous prime is 67672936717. The next prime is 67672936769. The reversal of 67672936728 is 82763927676.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15835200 + ... + 15839472.

It is an arithmetic number, because the mean of its divisors is an integer number (822210750).

Almost surely, 267672936728 is an apocalyptic number.

67672936728 is a gapful number since it is divisible by the number (68) 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 67672936728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105242976000).

67672936728 is an abundant number, since it is smaller than the sum of its proper divisors (142813015272).

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

67672936728 is a wasteful number, since it uses less digits than its factorization.

67672936728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4541 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 67672936728 in words is "sixty-seven billion, six hundred seventy-two million, nine hundred thirty-six thousand, seven hundred twenty-eight".