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74021879808 = 21434172193
BaseRepresentation
bin100010011110000001…
…1000100000000000000
321002001201020002210000
41010330003010000000
52203044100123213
654001041440000
75230221411522
oct1047403040000
9232051202700
1074021879808
112943546a988
1212419940000
136c98759ca6
143822c23a12
151dd3758c73
hex113c0c4000

74021879808 has 450 divisors, whose sum is σ = 236135975306. Its totient is φ = 23102226432.

The previous prime is 74021879807. The next prime is 74021879837. The reversal of 74021879808 is 80897812047.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20405551104 + 53616328704 = 142848^2 + 231552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (74021879801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 383532960 + ... + 383533152.

Almost surely, 274021879808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74021879808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118067987653).

74021879808 is an abundant number, since it is smaller than the sum of its proper divisors (162114095498).

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

74021879808 is an equidigital number, since it uses as much as digits as its factorization.

74021879808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 74021879808 in words is "seventy-four billion, twenty-one million, eight hundred seventy-nine thousand, eight hundred eight".