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74179650090 = 235721319204301
BaseRepresentation
bin100010100010101110…
…0111010001000101010
321002110201002122220210
41011011130322020222
52203404442300330
654024435201550
75234145423300
oct1050534721052
9232421078823
1074179650090
112950652a047
12124627462b6
136cc23498a0
143839b72270
151de25208b0
hex114573a22a

74179650090 has 192 divisors, whose sum is σ = 234767514240. Its totient is φ = 14827276800.

The previous prime is 74179650073. The next prime is 74179650121. The reversal of 74179650090 is 9005697147.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 260940 + ... + 465240.

It is an arithmetic number, because the mean of its divisors is an integer number (1222747470).

Almost surely, 274179650090 is an apocalyptic number.

74179650090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74179650090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117383757120).

74179650090 is an abundant number, since it is smaller than the sum of its proper divisors (160587864150).

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

74179650090 is a wasteful number, since it uses less digits than its factorization.

74179650090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204357 (or 204350 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 74179650090 in words is "seventy-four billion, one hundred seventy-nine million, six hundred fifty thousand, ninety".