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74220676992 = 27327111783593
BaseRepresentation
bin100010100011111100…
…1011010011110000000
321002120120022001020200
41011013321122132000
52204000443130432
654032502405200
75235154226250
oct1050771323600
9232516261220
1074220676992
1129527701180
1212474430800
136cca9b2967
1438413b1960
151de5e26a7c
hex1147e5a780

74220676992 has 768 divisors, whose sum is σ = 285820254720. Its totient is φ = 17895260160.

The previous prime is 74220676969. The next prime is 74220677023. The reversal of 74220676992 is 29967602247.

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 95 ways as a sum of consecutive naturals, for example, 125161048 + ... + 125161640.

It is an arithmetic number, because the mean of its divisors is an integer number (372161790).

Almost surely, 274220676992 is an apocalyptic number.

74220676992 is a gapful number since it is divisible by the number (72) 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 74220676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142910127360).

74220676992 is an abundant number, since it is smaller than the sum of its proper divisors (211599577728).

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

74220676992 is a wasteful number, since it uses less digits than its factorization.

74220676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 74220676992 in words is "seventy-four billion, two hundred twenty million, six hundred seventy-six thousand, nine hundred ninety-two".